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Finding the Fourth Proportional to 431,832.95, 647,832.45 and 165,572.70

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Solution

The fourth proportional to 431,832.95, 647,832.45 and 165,572.70 is: 248,390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,832.95 : 647,832.45 = 165,572.70 : x
  2. Step 2: Convert to fraction form
    431,832.95/647,832.45 = 165,572.70/x
  3. Step 3: Cross multiply
    431,832.95x = 647,832.45 × 165,572.70
  4. Step 4: Simplify right side
    431,832.95x = 107,263,366,980.84
  5. Step 5: Solve for x
    x = 107,263,366,980.84/431,832.95
  6. Step 6: Final answer
    x = 248,390.88

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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.