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Finding the Fourth Proportional to 613,476.10, 920,214.15 and 164,266.30

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Solution

The fourth proportional to 613,476.10, 920,214.15 and 164,266.30 is: 246,399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,476.10 : 920,214.15 = 164,266.30 : x
  2. Step 2: Convert to fraction form
    613,476.10/920,214.15 = 164,266.30/x
  3. Step 3: Cross multiply
    613,476.10x = 920,214.15 × 164,266.30
  4. Step 4: Simplify right side
    613,476.10x = 151,160,173,628.15
  5. Step 5: Solve for x
    x = 151,160,173,628.15/613,476.10
  6. Step 6: Final answer
    x = 246,399.45

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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.