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Finding the Fourth Proportional to 370,139.29, 510,793.85 and 200,373.42

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Solution

The fourth proportional to 370,139.29, 510,793.85 and 200,373.42 is: 276,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,139.29 : 510,793.85 = 200,373.42 : x
  2. Step 2: Convert to fraction form
    370,139.29/510,793.85 = 200,373.42/x
  3. Step 3: Cross multiply
    370,139.29x = 510,793.85 × 200,373.42
  4. Step 4: Simplify right side
    370,139.29x = 102,349,510,639.47
  5. Step 5: Solve for x
    x = 102,349,510,639.47/370,139.29
  6. Step 6: Final answer
    x = 276,516.20

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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.