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Finding the Fourth Proportional to 428,423.52, 642,487.02 and 175,632.24

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Solution

The fourth proportional to 428,423.52, 642,487.02 and 175,632.24 is: 263,387.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,423.52 : 642,487.02 = 175,632.24 : x
  2. Step 2: Convert to fraction form
    428,423.52/642,487.02 = 175,632.24/x
  3. Step 3: Cross multiply
    428,423.52x = 642,487.02 × 175,632.24
  4. Step 4: Simplify right side
    428,423.52x = 112,841,434,493.53
  5. Step 5: Solve for x
    x = 112,841,434,493.53/428,423.52
  6. Step 6: Final answer
    x = 263,387.58

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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.