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Finding the Fourth Proportional to 513,691.77, 708,895.50 and 284,258.72

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Solution

The fourth proportional to 513,691.77, 708,895.50 and 284,258.72 is: 392,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,691.77 : 708,895.50 = 284,258.72 : x
  2. Step 2: Convert to fraction form
    513,691.77/708,895.50 = 284,258.72/x
  3. Step 3: Cross multiply
    513,691.77x = 708,895.50 × 284,258.72
  4. Step 4: Simplify right side
    513,691.77x = 201,509,724,162.49
  5. Step 5: Solve for x
    x = 201,509,724,162.49/513,691.77
  6. Step 6: Final answer
    x = 392,277.50

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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.