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Finding the Fourth Proportional to 389,082, 536,934.11 and 217,011.10

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Solution

The fourth proportional to 389,082, 536,934.11 and 217,011.10 is: 299,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,082 : 536,934.11 = 217,011.10 : x
  2. Step 2: Convert to fraction form
    389,082/536,934.11 = 217,011.10/x
  3. Step 3: Cross multiply
    389,082x = 536,934.11 × 217,011.10
  4. Step 4: Simplify right side
    389,082x = 116,520,661,838.62
  5. Step 5: Solve for x
    x = 116,520,661,838.62/389,082
  6. Step 6: Final answer
    x = 299,475.85

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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.