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Finding the Fourth Proportional to 381,747.67, 572,494.35 and 153,984.47

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Solution

The fourth proportional to 381,747.67, 572,494.35 and 153,984.47 is: 230,925.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,747.67 : 572,494.35 = 153,984.47 : x
  2. Step 2: Convert to fraction form
    381,747.67/572,494.35 = 153,984.47/x
  3. Step 3: Cross multiply
    381,747.67x = 572,494.35 × 153,984.47
  4. Step 4: Simplify right side
    381,747.67x = 88,155,237,314.43
  5. Step 5: Solve for x
    x = 88,155,237,314.43/381,747.67
  6. Step 6: Final answer
    x = 230,925.41

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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.