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Finding the Fourth Proportional to 307,531.82, 424,394.08 and 171,565.76

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Solution

The fourth proportional to 307,531.82, 424,394.08 and 171,565.76 is: 236,760.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,531.82 : 424,394.08 = 171,565.76 : x
  2. Step 2: Convert to fraction form
    307,531.82/424,394.08 = 171,565.76/x
  3. Step 3: Cross multiply
    307,531.82x = 424,394.08 × 171,565.76
  4. Step 4: Simplify right side
    307,531.82x = 72,811,492,874.70
  5. Step 5: Solve for x
    x = 72,811,492,874.70/307,531.82
  6. Step 6: Final answer
    x = 236,760.84

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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.