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Finding the Fourth Proportional to 410,411.20, 615,616.80 and 368,420.80

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Solution

The fourth proportional to 410,411.20, 615,616.80 and 368,420.80 is: 552,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,411.20 : 615,616.80 = 368,420.80 : x
  2. Step 2: Convert to fraction form
    410,411.20/615,616.80 = 368,420.80/x
  3. Step 3: Cross multiply
    410,411.20x = 615,616.80 × 368,420.80
  4. Step 4: Simplify right side
    410,411.20x = 226,806,033,949.44
  5. Step 5: Solve for x
    x = 226,806,033,949.44/410,411.20
  6. Step 6: Final answer
    x = 552,631.20

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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.