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Finding the Fourth Proportional to 538,439.10, 807,651.45 and 164,463.90

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Solution

The fourth proportional to 538,439.10, 807,651.45 and 164,463.90 is: 246,693.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,439.10 : 807,651.45 = 164,463.90 : x
  2. Step 2: Convert to fraction form
    538,439.10/807,651.45 = 164,463.90/x
  3. Step 3: Cross multiply
    538,439.10x = 807,651.45 × 164,463.90
  4. Step 4: Simplify right side
    538,439.10x = 132,829,507,307.66
  5. Step 5: Solve for x
    x = 132,829,507,307.66/538,439.10
  6. Step 6: Final answer
    x = 246,693.65

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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.