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Finding the Fourth Proportional to 838,143.12, 1,156,662.03 and 456,194.64

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Solution

The fourth proportional to 838,143.12, 1,156,662.03 and 456,194.64 is: 629,561.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,143.12 : 1,156,662.03 = 456,194.64 : x
  2. Step 2: Convert to fraction form
    838,143.12/1,156,662.03 = 456,194.64/x
  3. Step 3: Cross multiply
    838,143.12x = 1,156,662.03 × 456,194.64
  4. Step 4: Simplify right side
    838,143.12x = 527,663,018,377.52
  5. Step 5: Solve for x
    x = 527,663,018,377.52/838,143.12
  6. Step 6: Final answer
    x = 629,561.95

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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.