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Finding the Fourth Proportional to 527,881.53, 728,305.25 and 298,416.63

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Solution

The fourth proportional to 527,881.53, 728,305.25 and 298,416.63 is: 411,718.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,881.53 : 728,305.25 = 298,416.63 : x
  2. Step 2: Convert to fraction form
    527,881.53/728,305.25 = 298,416.63/x
  3. Step 3: Cross multiply
    527,881.53x = 728,305.25 × 298,416.63
  4. Step 4: Simplify right side
    527,881.53x = 217,338,396,824.22
  5. Step 5: Solve for x
    x = 217,338,396,824.22/527,881.53
  6. Step 6: Final answer
    x = 411,718.13

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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.