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Finding the Fourth Proportional to 431,623.20, 647,434.80 and 428,858.40

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Solution

The fourth proportional to 431,623.20, 647,434.80 and 428,858.40 is: 643,287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,623.20 : 647,434.80 = 428,858.40 : x
  2. Step 2: Convert to fraction form
    431,623.20/647,434.80 = 428,858.40/x
  3. Step 3: Cross multiply
    431,623.20x = 647,434.80 × 428,858.40
  4. Step 4: Simplify right side
    431,623.20x = 277,657,852,432.32
  5. Step 5: Solve for x
    x = 277,657,852,432.32/431,623.20
  6. Step 6: Final answer
    x = 643,287.60

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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.