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Finding the Fourth Proportional to 513,695.49, 708,861.29 and 287,297.25

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Solution

The fourth proportional to 513,695.49, 708,861.29 and 287,297.25 is: 396,448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,695.49 : 708,861.29 = 287,297.25 : x
  2. Step 2: Convert to fraction form
    513,695.49/708,861.29 = 287,297.25/x
  3. Step 3: Cross multiply
    513,695.49x = 708,861.29 × 287,297.25
  4. Step 4: Simplify right side
    513,695.49x = 203,653,897,811.97
  5. Step 5: Solve for x
    x = 203,653,897,811.97/513,695.49
  6. Step 6: Final answer
    x = 396,448.68

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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.