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Finding the Fourth Proportional to 506,253.26, 698,639.60 and 276,824.90

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Solution

The fourth proportional to 506,253.26, 698,639.60 and 276,824.90 is: 382,023.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,253.26 : 698,639.60 = 276,824.90 : x
  2. Step 2: Convert to fraction form
    506,253.26/698,639.60 = 276,824.90/x
  3. Step 3: Cross multiply
    506,253.26x = 698,639.60 × 276,824.90
  4. Step 4: Simplify right side
    506,253.26x = 193,400,832,528.72
  5. Step 5: Solve for x
    x = 193,400,832,528.72/506,253.26
  6. Step 6: Final answer
    x = 382,023.88

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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.