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Finding the Fourth Proportional to 291,470.32, 436,836.84 and 141,744.88

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Solution

The fourth proportional to 291,470.32, 436,836.84 and 141,744.88 is: 212,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,470.32 : 436,836.84 = 141,744.88 : x
  2. Step 2: Convert to fraction form
    291,470.32/436,836.84 = 141,744.88/x
  3. Step 3: Cross multiply
    291,470.32x = 436,836.84 × 141,744.88
  4. Step 4: Simplify right side
    291,470.32x = 61,919,385,465.38
  5. Step 5: Solve for x
    x = 61,919,385,465.38/291,470.32
  6. Step 6: Final answer
    x = 212,438.05

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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.