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Finding the Fourth Proportional to 410,381.24, 615,788.53 and 291,208.30

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Solution

The fourth proportional to 410,381.24, 615,788.53 and 291,208.30 is: 436,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,381.24 : 615,788.53 = 291,208.30 : x
  2. Step 2: Convert to fraction form
    410,381.24/615,788.53 = 291,208.30/x
  3. Step 3: Cross multiply
    410,381.24x = 615,788.53 × 291,208.30
  4. Step 4: Simplify right side
    410,381.24x = 179,322,728,713.31
  5. Step 5: Solve for x
    x = 179,322,728,713.31/410,381.24
  6. Step 6: Final answer
    x = 436,966.20

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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.