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Finding the Fourth Proportional to 431,817.98, 647,726.96 and 420,008.18

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Solution

The fourth proportional to 431,817.98, 647,726.96 and 420,008.18 is: 630,012.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,817.98 : 647,726.96 = 420,008.18 : x
  2. Step 2: Convert to fraction form
    431,817.98/647,726.96 = 420,008.18/x
  3. Step 3: Cross multiply
    431,817.98x = 647,726.96 × 420,008.18
  4. Step 4: Simplify right side
    431,817.98x = 272,050,616,267.86
  5. Step 5: Solve for x
    x = 272,050,616,267.86/431,817.98
  6. Step 6: Final answer
    x = 630,012.26

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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.