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Finding the Fourth Proportional to 288,051.20, 431,731.20 and 147,737.60

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Solution

The fourth proportional to 288,051.20, 431,731.20 and 147,737.60 is: 221,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,051.20 : 431,731.20 = 147,737.60 : x
  2. Step 2: Convert to fraction form
    288,051.20/431,731.20 = 147,737.60/x
  3. Step 3: Cross multiply
    288,051.20x = 431,731.20 × 147,737.60
  4. Step 4: Simplify right side
    288,051.20x = 63,782,931,333.12
  5. Step 5: Solve for x
    x = 63,782,931,333.12/288,051.20
  6. Step 6: Final answer
    x = 221,429.15

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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.