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Finding the Fourth Proportional to 726,141.40, 1,089,212.10 and 411,213.40

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Solution

The fourth proportional to 726,141.40, 1,089,212.10 and 411,213.40 is: 616,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,141.40 : 1,089,212.10 = 411,213.40 : x
  2. Step 2: Convert to fraction form
    726,141.40/1,089,212.10 = 411,213.40/x
  3. Step 3: Cross multiply
    726,141.40x = 1,089,212.10 × 411,213.40
  4. Step 4: Simplify right side
    726,141.40x = 447,898,610,962.14
  5. Step 5: Solve for x
    x = 447,898,610,962.14/726,141.40
  6. Step 6: Final answer
    x = 616,820.10

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.