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Finding the Fourth Proportional to 708,929.43, 978,318.13 and 403,005.82

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Solution

The fourth proportional to 708,929.43, 978,318.13 and 403,005.82 is: 556,145.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,929.43 : 978,318.13 = 403,005.82 : x
  2. Step 2: Convert to fraction form
    708,929.43/978,318.13 = 403,005.82/x
  3. Step 3: Cross multiply
    708,929.43x = 978,318.13 × 403,005.82
  4. Step 4: Simplify right side
    708,929.43x = 394,267,900,201.52
  5. Step 5: Solve for x
    x = 394,267,900,201.52/708,929.43
  6. Step 6: Final answer
    x = 556,145.48

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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.