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Finding the Fourth Proportional to 288,047.20, 431,725.20 and 147,733.60

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Solution

The fourth proportional to 288,047.20, 431,725.20 and 147,733.60 is: 221,423.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,047.20 : 431,725.20 = 147,733.60 : x
  2. Step 2: Convert to fraction form
    288,047.20/431,725.20 = 147,733.60/x
  3. Step 3: Cross multiply
    288,047.20x = 431,725.20 × 147,733.60
  4. Step 4: Simplify right side
    288,047.20x = 63,780,318,006.72
  5. Step 5: Solve for x
    x = 63,780,318,006.72/288,047.20
  6. Step 6: Final answer
    x = 221,423.15

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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.