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Finding the Fourth Proportional to 382,145.04, 527,368.32 and 212,375.52

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Solution

The fourth proportional to 382,145.04, 527,368.32 and 212,375.52 is: 293,082.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,145.04 : 527,368.32 = 212,375.52 : x
  2. Step 2: Convert to fraction form
    382,145.04/527,368.32 = 212,375.52/x
  3. Step 3: Cross multiply
    382,145.04x = 527,368.32 × 212,375.52
  4. Step 4: Simplify right side
    382,145.04x = 112,000,121,191.53
  5. Step 5: Solve for x
    x = 112,000,121,191.53/382,145.04
  6. Step 6: Final answer
    x = 293,082.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.