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Finding the Fourth Proportional to 288,048.20, 431,726.70 and 147,734.60

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Solution

The fourth proportional to 288,048.20, 431,726.70 and 147,734.60 is: 221,424.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,048.20 : 431,726.70 = 147,734.60 : x
  2. Step 2: Convert to fraction form
    288,048.20/431,726.70 = 147,734.60/x
  3. Step 3: Cross multiply
    288,048.20x = 431,726.70 × 147,734.60
  4. Step 4: Simplify right side
    288,048.20x = 63,780,971,333.82
  5. Step 5: Solve for x
    x = 63,780,971,333.82/288,048.20
  6. Step 6: Final answer
    x = 221,424.65

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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.