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Finding the Fourth Proportional to 287,376.31, 431,064.19 and 135,537.96

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Solution

The fourth proportional to 287,376.31, 431,064.19 and 135,537.96 is: 203,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,376.31 : 431,064.19 = 135,537.96 : x
  2. Step 2: Convert to fraction form
    287,376.31/431,064.19 = 135,537.96/x
  3. Step 3: Cross multiply
    287,376.31x = 431,064.19 × 135,537.96
  4. Step 4: Simplify right side
    287,376.31x = 58,425,560,602.81
  5. Step 5: Solve for x
    x = 58,425,560,602.81/287,376.31
  6. Step 6: Final answer
    x = 203,306.81

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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.