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Finding the Fourth Proportional to 431,752.80, 647,629.20 and 423,458.40

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Solution

The fourth proportional to 431,752.80, 647,629.20 and 423,458.40 is: 635,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,752.80 : 647,629.20 = 423,458.40 : x
  2. Step 2: Convert to fraction form
    431,752.80/647,629.20 = 423,458.40/x
  3. Step 3: Cross multiply
    431,752.80x = 647,629.20 × 423,458.40
  4. Step 4: Simplify right side
    431,752.80x = 274,244,024,825.28
  5. Step 5: Solve for x
    x = 274,244,024,825.28/431,752.80
  6. Step 6: Final answer
    x = 635,187.60

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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.