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Finding the Fourth Proportional to 381,751.98, 572,500.80 and 153,988.77

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Solution

The fourth proportional to 381,751.98, 572,500.80 and 153,988.77 is: 230,931.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,751.98 : 572,500.80 = 153,988.77 : x
  2. Step 2: Convert to fraction form
    381,751.98/572,500.80 = 153,988.77/x
  3. Step 3: Cross multiply
    381,751.98x = 572,500.80 × 153,988.77
  4. Step 4: Simplify right side
    381,751.98x = 88,158,694,016.02
  5. Step 5: Solve for x
    x = 88,158,694,016.02/381,751.98
  6. Step 6: Final answer
    x = 230,931.86

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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.