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Finding the Fourth Proportional to 330,075, 495,176.13 and 140,531.85

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Solution

The fourth proportional to 330,075, 495,176.13 and 140,531.85 is: 210,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,075 : 495,176.13 = 140,531.85 : x
  2. Step 2: Convert to fraction form
    330,075/495,176.13 = 140,531.85/x
  3. Step 3: Cross multiply
    330,075x = 495,176.13 × 140,531.85
  4. Step 4: Simplify right side
    330,075x = 69,588,017,624.74
  5. Step 5: Solve for x
    x = 69,588,017,624.74/330,075
  6. Step 6: Final answer
    x = 210,824.87

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1.5x scale

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.