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Finding the Fourth Proportional to 708,904.29, 978,248.90 and 402,938.13

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Solution

The fourth proportional to 708,904.29, 978,248.90 and 402,938.13 is: 556,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,904.29 : 978,248.90 = 402,938.13 : x
  2. Step 2: Convert to fraction form
    708,904.29/978,248.90 = 402,938.13/x
  3. Step 3: Cross multiply
    708,904.29x = 978,248.90 × 402,938.13
  4. Step 4: Simplify right side
    708,904.29x = 394,173,780,425.87
  5. Step 5: Solve for x
    x = 394,173,780,425.87/708,904.29
  6. Step 6: Final answer
    x = 556,032.44

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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.