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Finding the Fourth Proportional to 438,644.80, 657,967.20 and 431,646.40

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Solution

The fourth proportional to 438,644.80, 657,967.20 and 431,646.40 is: 647,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,644.80 : 657,967.20 = 431,646.40 : x
  2. Step 2: Convert to fraction form
    438,644.80/657,967.20 = 431,646.40/x
  3. Step 3: Cross multiply
    438,644.80x = 657,967.20 × 431,646.40
  4. Step 4: Simplify right side
    438,644.80x = 284,009,173,198.08
  5. Step 5: Solve for x
    x = 284,009,173,198.08/438,644.80
  6. Step 6: Final answer
    x = 647,469.60

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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.