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Finding the Fourth Proportional to 497,654.08, 686,545.86 and 316,268.80

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Solution

The fourth proportional to 497,654.08, 686,545.86 and 316,268.80 is: 436,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,654.08 : 686,545.86 = 316,268.80 : x
  2. Step 2: Convert to fraction form
    497,654.08/686,545.86 = 316,268.80/x
  3. Step 3: Cross multiply
    497,654.08x = 686,545.86 × 316,268.80
  4. Step 4: Simplify right side
    497,654.08x = 217,133,035,287.17
  5. Step 5: Solve for x
    x = 217,133,035,287.17/497,654.08
  6. Step 6: Final answer
    x = 436,313.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.