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Finding the Fourth Proportional to 287,248.02, 430,686.92 and 137,484.68

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Solution

The fourth proportional to 287,248.02, 430,686.92 and 137,484.68 is: 206,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,248.02 : 430,686.92 = 137,484.68 : x
  2. Step 2: Convert to fraction form
    287,248.02/430,686.92 = 137,484.68/x
  3. Step 3: Cross multiply
    287,248.02x = 430,686.92 × 137,484.68
  4. Step 4: Simplify right side
    287,248.02x = 59,212,853,376.39
  5. Step 5: Solve for x
    x = 59,212,853,376.39/287,248.02
  6. Step 6: Final answer
    x = 206,138.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.