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Finding the Fourth Proportional to 390,782.46, 586,265.82 and 311,121.58

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Solution

The fourth proportional to 390,782.46, 586,265.82 and 311,121.58 is: 466,755.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,782.46 : 586,265.82 = 311,121.58 : x
  2. Step 2: Convert to fraction form
    390,782.46/586,265.82 = 311,121.58/x
  3. Step 3: Cross multiply
    390,782.46x = 586,265.82 × 311,121.58
  4. Step 4: Simplify right side
    390,782.46x = 182,399,948,218.40
  5. Step 5: Solve for x
    x = 182,399,948,218.40/390,782.46
  6. Step 6: Final answer
    x = 466,755.72

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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.