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Finding the Fourth Proportional to 410,202.20, 615,303.30 and 291,229.40

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Solution

The fourth proportional to 410,202.20, 615,303.30 and 291,229.40 is: 436,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,202.20 : 615,303.30 = 291,229.40 : x
  2. Step 2: Convert to fraction form
    410,202.20/615,303.30 = 291,229.40/x
  3. Step 3: Cross multiply
    410,202.20x = 615,303.30 × 291,229.40
  4. Step 4: Simplify right side
    410,202.20x = 179,194,410,877.02
  5. Step 5: Solve for x
    x = 179,194,410,877.02/410,202.20
  6. Step 6: Final answer
    x = 436,844.10

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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.