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Finding the Fourth Proportional to 409,577.22, 614,642.45 and 143,340.03

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Solution

The fourth proportional to 409,577.22, 614,642.45 and 143,340.03 is: 215,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,577.22 : 614,642.45 = 143,340.03 : x
  2. Step 2: Convert to fraction form
    409,577.22/614,642.45 = 143,340.03/x
  3. Step 3: Cross multiply
    409,577.22x = 614,642.45 × 143,340.03
  4. Step 4: Simplify right side
    409,577.22x = 88,102,866,505.57
  5. Step 5: Solve for x
    x = 88,102,866,505.57/409,577.22
  6. Step 6: Final answer
    x = 215,106.85

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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.