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Finding the Fourth Proportional to 527,978.56, 728,652.48 and 298,584.16

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Solution

The fourth proportional to 527,978.56, 728,652.48 and 298,584.16 is: 412,069.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,978.56 : 728,652.48 = 298,584.16 : x
  2. Step 2: Convert to fraction form
    527,978.56/728,652.48 = 298,584.16/x
  3. Step 3: Cross multiply
    527,978.56x = 728,652.48 × 298,584.16
  4. Step 4: Simplify right side
    527,978.56x = 217,564,088,672.72
  5. Step 5: Solve for x
    x = 217,564,088,672.72/527,978.56
  6. Step 6: Final answer
    x = 412,069.93

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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.