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Finding the Fourth Proportional to 708,818.68, 978,132.66 and 402,854.20

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Solution

The fourth proportional to 708,818.68, 978,132.66 and 402,854.20 is: 555,917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,818.68 : 978,132.66 = 402,854.20 : x
  2. Step 2: Convert to fraction form
    708,818.68/978,132.66 = 402,854.20/x
  3. Step 3: Cross multiply
    708,818.68x = 978,132.66 × 402,854.20
  4. Step 4: Simplify right side
    708,818.68x = 394,044,850,238.17
  5. Step 5: Solve for x
    x = 394,044,850,238.17/708,818.68
  6. Step 6: Final answer
    x = 555,917.70

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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.