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Finding the Fourth Proportional to 410,475.20, 615,712.80 and 144,276.80

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Solution

The fourth proportional to 410,475.20, 615,712.80 and 144,276.80 is: 216,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,475.20 : 615,712.80 = 144,276.80 : x
  2. Step 2: Convert to fraction form
    410,475.20/615,712.80 = 144,276.80/x
  3. Step 3: Cross multiply
    410,475.20x = 615,712.80 × 144,276.80
  4. Step 4: Simplify right side
    410,475.20x = 88,833,072,503.04
  5. Step 5: Solve for x
    x = 88,833,072,503.04/410,475.20
  6. Step 6: Final answer
    x = 216,415.20

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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.