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Finding the Fourth Proportional to 410,019.20, 615,028.80 and 291,046.40

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Solution

The fourth proportional to 410,019.20, 615,028.80 and 291,046.40 is: 436,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,019.20 : 615,028.80 = 291,046.40 : x
  2. Step 2: Convert to fraction form
    410,019.20/615,028.80 = 291,046.40/x
  3. Step 3: Cross multiply
    410,019.20x = 615,028.80 × 291,046.40
  4. Step 4: Simplify right side
    410,019.20x = 179,001,918,136.32
  5. Step 5: Solve for x
    x = 179,001,918,136.32/410,019.20
  6. Step 6: Final answer
    x = 436,569.60

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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.