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Finding the Fourth Proportional to 513,723.88, 708,966.50 and 287,355.88

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Solution

The fourth proportional to 513,723.88, 708,966.50 and 287,355.88 is: 396,566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,723.88 : 708,966.50 = 287,355.88 : x
  2. Step 2: Convert to fraction form
    513,723.88/708,966.50 = 287,355.88/x
  3. Step 3: Cross multiply
    513,723.88x = 708,966.50 × 287,355.88
  4. Step 4: Simplify right side
    513,723.88x = 203,725,692,498.02
  5. Step 5: Solve for x
    x = 203,725,692,498.02/513,723.88
  6. Step 6: Final answer
    x = 396,566.52

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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.