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Finding the Fourth Proportional to 546,538.40, 819,807.60 and 509,213.60

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Solution

The fourth proportional to 546,538.40, 819,807.60 and 509,213.60 is: 763,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,538.40 : 819,807.60 = 509,213.60 : x
  2. Step 2: Convert to fraction form
    546,538.40/819,807.60 = 509,213.60/x
  3. Step 3: Cross multiply
    546,538.40x = 819,807.60 × 509,213.60
  4. Step 4: Simplify right side
    546,538.40x = 417,457,179,303.36
  5. Step 5: Solve for x
    x = 417,457,179,303.36/546,538.40
  6. Step 6: Final answer
    x = 763,820.40

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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.