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Finding the Fourth Proportional to 642,530.16, 886,711 and 356,023.28

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Solution

The fourth proportional to 642,530.16, 886,711 and 356,023.28 is: 491,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,530.16 : 886,711 = 356,023.28 : x
  2. Step 2: Convert to fraction form
    642,530.16/886,711 = 356,023.28/x
  3. Step 3: Cross multiply
    642,530.16x = 886,711 × 356,023.28
  4. Step 4: Simplify right side
    642,530.16x = 315,689,758,632.08
  5. Step 5: Solve for x
    x = 315,689,758,632.08/642,530.16
  6. Step 6: Final answer
    x = 491,322.86

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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.