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Finding the Fourth Proportional to 431,858.80, 648,079.80 and 242,318.80

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Solution

The fourth proportional to 431,858.80, 648,079.80 and 242,318.80 is: 363,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,858.80 : 648,079.80 = 242,318.80 : x
  2. Step 2: Convert to fraction form
    431,858.80/648,079.80 = 242,318.80/x
  3. Step 3: Cross multiply
    431,858.80x = 648,079.80 × 242,318.80
  4. Step 4: Simplify right side
    431,858.80x = 157,041,919,440.24
  5. Step 5: Solve for x
    x = 157,041,919,440.24/431,858.80
  6. Step 6: Final answer
    x = 363,641.82

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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.