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Finding the Fourth Proportional to 527,438.64, 727,822.08 and 298,015.86

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Solution

The fourth proportional to 527,438.64, 727,822.08 and 298,015.86 is: 411,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,438.64 : 727,822.08 = 298,015.86 : x
  2. Step 2: Convert to fraction form
    527,438.64/727,822.08 = 298,015.86/x
  3. Step 3: Cross multiply
    527,438.64x = 727,822.08 × 298,015.86
  4. Step 4: Simplify right side
    527,438.64x = 216,902,523,098.19
  5. Step 5: Solve for x
    x = 216,902,523,098.19/527,438.64
  6. Step 6: Final answer
    x = 411,237.45

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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.