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Finding the Fourth Proportional to 330,132.70, 493,886.85 and 286,246.90

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Solution

The fourth proportional to 330,132.70, 493,886.85 and 286,246.90 is: 428,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,132.70 : 493,886.85 = 286,246.90 : x
  2. Step 2: Convert to fraction form
    330,132.70/493,886.85 = 286,246.90/x
  3. Step 3: Cross multiply
    330,132.70x = 493,886.85 × 286,246.90
  4. Step 4: Simplify right side
    330,132.70x = 141,373,579,763.27
  5. Step 5: Solve for x
    x = 141,373,579,763.27/330,132.70
  6. Step 6: Final answer
    x = 428,232.59

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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.