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Finding the Fourth Proportional to 468,079.92, 645,949.71 and 253,219.50

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Solution

The fourth proportional to 468,079.92, 645,949.71 and 253,219.50 is: 349,442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,079.92 : 645,949.71 = 253,219.50 : x
  2. Step 2: Convert to fraction form
    468,079.92/645,949.71 = 253,219.50/x
  3. Step 3: Cross multiply
    468,079.92x = 645,949.71 × 253,219.50
  4. Step 4: Simplify right side
    468,079.92x = 163,567,062,591.35
  5. Step 5: Solve for x
    x = 163,567,062,591.35/468,079.92
  6. Step 6: Final answer
    x = 349,442.60

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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.