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Finding the Fourth Proportional to 288,055.20, 431,737.20 and 147,741.60

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Solution

The fourth proportional to 288,055.20, 431,737.20 and 147,741.60 is: 221,435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,055.20 : 431,737.20 = 147,741.60 : x
  2. Step 2: Convert to fraction form
    288,055.20/431,737.20 = 147,741.60/x
  3. Step 3: Cross multiply
    288,055.20x = 431,737.20 × 147,741.60
  4. Step 4: Simplify right side
    288,055.20x = 63,785,544,707.52
  5. Step 5: Solve for x
    x = 63,785,544,707.52/288,055.20
  6. Step 6: Final answer
    x = 221,435.14

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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.