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Finding the Fourth Proportional to 351,521.28, 527,276.88 and 85,284

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Solution

The fourth proportional to 351,521.28, 527,276.88 and 85,284 is: 127,924.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,521.28 : 527,276.88 = 85,284 : x
  2. Step 2: Convert to fraction form
    351,521.28/527,276.88 = 85,284/x
  3. Step 3: Cross multiply
    351,521.28x = 527,276.88 × 85,284
  4. Step 4: Simplify right side
    351,521.28x = 44,968,281,433.92
  5. Step 5: Solve for x
    x = 44,968,281,433.92/351,521.28
  6. Step 6: Final answer
    x = 127,924.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.