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Finding the Fourth Proportional to 584,711.82, 806,902.31 and 316,439.82

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Solution

The fourth proportional to 584,711.82, 806,902.31 and 316,439.82 is: 436,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,711.82 : 806,902.31 = 316,439.82 : x
  2. Step 2: Convert to fraction form
    584,711.82/806,902.31 = 316,439.82/x
  3. Step 3: Cross multiply
    584,711.82x = 806,902.31 × 316,439.82
  4. Step 4: Simplify right side
    584,711.82x = 255,336,020,151.79
  5. Step 5: Solve for x
    x = 255,336,020,151.79/584,711.82
  6. Step 6: Final answer
    x = 436,686.95

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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.