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Finding the Fourth Proportional to 486,029.82, 729,017.43 and 149,069.55

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Solution

The fourth proportional to 486,029.82, 729,017.43 and 149,069.55 is: 223,595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,029.82 : 729,017.43 = 149,069.55 : x
  2. Step 2: Convert to fraction form
    486,029.82/729,017.43 = 149,069.55/x
  3. Step 3: Cross multiply
    486,029.82x = 729,017.43 × 149,069.55
  4. Step 4: Simplify right side
    486,029.82x = 108,674,300,232.26
  5. Step 5: Solve for x
    x = 108,674,300,232.26/486,029.82
  6. Step 6: Final answer
    x = 223,595.95

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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.