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Finding the Fourth Proportional to 288,027.20, 431,695.20 and 147,713.60

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Solution

The fourth proportional to 288,027.20, 431,695.20 and 147,713.60 is: 221,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,027.20 : 431,695.20 = 147,713.60 : x
  2. Step 2: Convert to fraction form
    288,027.20/431,695.20 = 147,713.60/x
  3. Step 3: Cross multiply
    288,027.20x = 431,695.20 × 147,713.60
  4. Step 4: Simplify right side
    288,027.20x = 63,767,252,094.72
  5. Step 5: Solve for x
    x = 63,767,252,094.72/288,027.20
  6. Step 6: Final answer
    x = 221,393.16

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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.