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Finding the Fourth Proportional to 807,930, 1,114,937.40 and 445,354.20

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Solution

The fourth proportional to 807,930, 1,114,937.40 and 445,354.20 is: 614,585.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,930 : 1,114,937.40 = 445,354.20 : x
  2. Step 2: Convert to fraction form
    807,930/1,114,937.40 = 445,354.20/x
  3. Step 3: Cross multiply
    807,930x = 1,114,937.40 × 445,354.20
  4. Step 4: Simplify right side
    807,930x = 496,542,053,827.08
  5. Step 5: Solve for x
    x = 496,542,053,827.08/807,930
  6. Step 6: Final answer
    x = 614,585.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.