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Finding the Fourth Proportional to 513,693.74, 708,858.86 and 287,295.50

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Solution

The fourth proportional to 513,693.74, 708,858.86 and 287,295.50 is: 396,446.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,693.74 : 708,858.86 = 287,295.50 : x
  2. Step 2: Convert to fraction form
    513,693.74/708,858.86 = 287,295.50/x
  3. Step 3: Cross multiply
    513,693.74x = 708,858.86 × 287,295.50
  4. Step 4: Simplify right side
    513,693.74x = 203,651,960,613.13
  5. Step 5: Solve for x
    x = 203,651,960,613.13/513,693.74
  6. Step 6: Final answer
    x = 396,446.26

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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.