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Finding the Fourth Proportional to 527,671.80, 728,143.74 and 298,248.66

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Solution

The fourth proportional to 527,671.80, 728,143.74 and 298,248.66 is: 411,558.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,671.80 : 728,143.74 = 298,248.66 : x
  2. Step 2: Convert to fraction form
    527,671.80/728,143.74 = 298,248.66/x
  3. Step 3: Cross multiply
    527,671.80x = 728,143.74 × 298,248.66
  4. Step 4: Simplify right side
    527,671.80x = 217,167,894,742.39
  5. Step 5: Solve for x
    x = 217,167,894,742.39/527,671.80
  6. Step 6: Final answer
    x = 411,558.65

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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.