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Finding the Fourth Proportional to 415,551.80, 623,327.70 and 135,097.40

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Solution

The fourth proportional to 415,551.80, 623,327.70 and 135,097.40 is: 202,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,551.80 : 623,327.70 = 135,097.40 : x
  2. Step 2: Convert to fraction form
    415,551.80/623,327.70 = 135,097.40/x
  3. Step 3: Cross multiply
    415,551.80x = 623,327.70 × 135,097.40
  4. Step 4: Simplify right side
    415,551.80x = 84,209,951,617.98
  5. Step 5: Solve for x
    x = 84,209,951,617.98/415,551.80
  6. Step 6: Final answer
    x = 202,646.10

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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.