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Finding the Fourth Proportional to 513,605.14, 708,794.48 and 281,047.73

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Solution

The fourth proportional to 513,605.14, 708,794.48 and 281,047.73 is: 387,856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,605.14 : 708,794.48 = 281,047.73 : x
  2. Step 2: Convert to fraction form
    513,605.14/708,794.48 = 281,047.73/x
  3. Step 3: Cross multiply
    513,605.14x = 708,794.48 × 281,047.73
  4. Step 4: Simplify right side
    513,605.14x = 199,205,076,799.18
  5. Step 5: Solve for x
    x = 199,205,076,799.18/513,605.14
  6. Step 6: Final answer
    x = 387,856.47

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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.