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Finding the Fourth Proportional to 708,914.29, 978,262.70 and 402,948.13

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Solution

The fourth proportional to 708,914.29, 978,262.70 and 402,948.13 is: 556,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,914.29 : 978,262.70 = 402,948.13 : x
  2. Step 2: Convert to fraction form
    708,914.29/978,262.70 = 402,948.13/x
  3. Step 3: Cross multiply
    708,914.29x = 978,262.70 × 402,948.13
  4. Step 4: Simplify right side
    708,914.29x = 394,189,125,613.75
  5. Step 5: Solve for x
    x = 394,189,125,613.75/708,914.29
  6. Step 6: Final answer
    x = 556,046.24

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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.