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Finding the Fourth Proportional to 708,814.92, 978,129 and 402,850.86

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Solution

The fourth proportional to 708,814.92, 978,129 and 402,850.86 is: 555,913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,814.92 : 978,129 = 402,850.86 : x
  2. Step 2: Convert to fraction form
    708,814.92/978,129 = 402,850.86/x
  3. Step 3: Cross multiply
    708,814.92x = 978,129 × 402,850.86
  4. Step 4: Simplify right side
    708,814.92x = 394,040,108,840.94
  5. Step 5: Solve for x
    x = 394,040,108,840.94/708,814.92
  6. Step 6: Final answer
    x = 555,913.96

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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.