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Finding the Fourth Proportional to 287,500.71, 396,741.68 and 165,013.26

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Solution

The fourth proportional to 287,500.71, 396,741.68 and 165,013.26 is: 227,712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,500.71 : 396,741.68 = 165,013.26 : x
  2. Step 2: Convert to fraction form
    287,500.71/396,741.68 = 165,013.26/x
  3. Step 3: Cross multiply
    287,500.71x = 396,741.68 × 165,013.26
  4. Step 4: Simplify right side
    287,500.71x = 65,467,636,423.50
  5. Step 5: Solve for x
    x = 65,467,636,423.50/287,500.71
  6. Step 6: Final answer
    x = 227,712.95

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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.