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Finding the Fourth Proportional to 527,887.54, 728,313.52 and 298,422.64

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Solution

The fourth proportional to 527,887.54, 728,313.52 and 298,422.64 is: 411,726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,887.54 : 728,313.52 = 298,422.64 : x
  2. Step 2: Convert to fraction form
    527,887.54/728,313.52 = 298,422.64/x
  3. Step 3: Cross multiply
    527,887.54x = 728,313.52 × 298,422.64
  4. Step 4: Simplify right side
    527,887.54x = 217,345,243,386.09
  5. Step 5: Solve for x
    x = 217,345,243,386.09/527,887.54
  6. Step 6: Final answer
    x = 411,726.41

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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.