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Finding the Fourth Proportional to 490,495.92, 676,862.52 and 286,565.76

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Solution

The fourth proportional to 490,495.92, 676,862.52 and 286,565.76 is: 395,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,495.92 : 676,862.52 = 286,565.76 : x
  2. Step 2: Convert to fraction form
    490,495.92/676,862.52 = 286,565.76/x
  3. Step 3: Cross multiply
    490,495.92x = 676,862.52 × 286,565.76
  4. Step 4: Simplify right side
    490,495.92x = 193,965,622,459.32
  5. Step 5: Solve for x
    x = 193,965,622,459.32/490,495.92
  6. Step 6: Final answer
    x = 395,447.98

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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.