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Finding the Fourth Proportional to 409,908.32, 614,950.02 and 143,685.08

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Solution

The fourth proportional to 409,908.32, 614,950.02 and 143,685.08 is: 215,558.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,908.32 : 614,950.02 = 143,685.08 : x
  2. Step 2: Convert to fraction form
    409,908.32/614,950.02 = 143,685.08/x
  3. Step 3: Cross multiply
    409,908.32x = 614,950.02 × 143,685.08
  4. Step 4: Simplify right side
    409,908.32x = 88,359,142,819.70
  5. Step 5: Solve for x
    x = 88,359,142,819.70/409,908.32
  6. Step 6: Final answer
    x = 215,558.31

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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.