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Finding the Fourth Proportional to 288,527.20, 432,445.20 and 148,213.60

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Solution

The fourth proportional to 288,527.20, 432,445.20 and 148,213.60 is: 222,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,527.20 : 432,445.20 = 148,213.60 : x
  2. Step 2: Convert to fraction form
    288,527.20/432,445.20 = 148,213.60/x
  3. Step 3: Cross multiply
    288,527.20x = 432,445.20 × 148,213.60
  4. Step 4: Simplify right side
    288,527.20x = 64,094,259,894.72
  5. Step 5: Solve for x
    x = 64,094,259,894.72/288,527.20
  6. Step 6: Final answer
    x = 222,142.87

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1.5x scale

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.