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Finding the Fourth Proportional to 585,387, 807,838.92 and 317,115

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Solution

The fourth proportional to 585,387, 807,838.92 and 317,115 is: 437,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,387 : 807,838.92 = 317,115 : x
  2. Step 2: Convert to fraction form
    585,387/807,838.92 = 317,115/x
  3. Step 3: Cross multiply
    585,387x = 807,838.92 × 317,115
  4. Step 4: Simplify right side
    585,387x = 256,177,839,115.80
  5. Step 5: Solve for x
    x = 256,177,839,115.80/585,387
  6. Step 6: Final answer
    x = 437,621.33

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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.