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Finding the Fourth Proportional to 513,485.66, 708,555.68 and 284,006.48

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Solution

The fourth proportional to 513,485.66, 708,555.68 and 284,006.48 is: 391,898.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,485.66 : 708,555.68 = 284,006.48 : x
  2. Step 2: Convert to fraction form
    513,485.66/708,555.68 = 284,006.48/x
  3. Step 3: Cross multiply
    513,485.66x = 708,555.68 × 284,006.48
  4. Step 4: Simplify right side
    513,485.66x = 201,234,404,560.81
  5. Step 5: Solve for x
    x = 201,234,404,560.81/513,485.66
  6. Step 6: Final answer
    x = 391,898.78

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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.