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Finding the Fourth Proportional to 427,156.69, 640,537.82 and 157,217.03

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Solution

The fourth proportional to 427,156.69, 640,537.82 and 157,217.03 is: 235,752.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,156.69 : 640,537.82 = 157,217.03 : x
  2. Step 2: Convert to fraction form
    427,156.69/640,537.82 = 157,217.03/x
  3. Step 3: Cross multiply
    427,156.69x = 640,537.82 × 157,217.03
  4. Step 4: Simplify right side
    427,156.69x = 100,703,451,748.71
  5. Step 5: Solve for x
    x = 100,703,451,748.71/427,156.69
  6. Step 6: Final answer
    x = 235,752.95

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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.