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Finding the Fourth Proportional to 527,874.48, 728,457.84 and 298,428.21

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Solution

The fourth proportional to 527,874.48, 728,457.84 and 298,428.21 is: 411,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,874.48 : 728,457.84 = 298,428.21 : x
  2. Step 2: Convert to fraction form
    527,874.48/728,457.84 = 298,428.21/x
  3. Step 3: Cross multiply
    527,874.48x = 728,457.84 × 298,428.21
  4. Step 4: Simplify right side
    527,874.48x = 217,392,369,251.67
  5. Step 5: Solve for x
    x = 217,392,369,251.67/527,874.48
  6. Step 6: Final answer
    x = 411,825.87

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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.