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Finding the Fourth Proportional to 431,956.40, 648,035.57 and 147,649.13

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Solution

The fourth proportional to 431,956.40, 648,035.57 and 147,649.13 is: 221,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,956.40 : 648,035.57 = 147,649.13 : x
  2. Step 2: Convert to fraction form
    431,956.40/648,035.57 = 147,649.13/x
  3. Step 3: Cross multiply
    431,956.40x = 648,035.57 × 147,649.13
  4. Step 4: Simplify right side
    431,956.40x = 95,681,888,119.55
  5. Step 5: Solve for x
    x = 95,681,888,119.55/431,956.40
  6. Step 6: Final answer
    x = 221,508.21

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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.