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Finding the Fourth Proportional to 585,137, 807,489.06 and 316,865

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Solution

The fourth proportional to 585,137, 807,489.06 and 316,865 is: 437,273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,137 : 807,489.06 = 316,865 : x
  2. Step 2: Convert to fraction form
    585,137/807,489.06 = 316,865/x
  3. Step 3: Cross multiply
    585,137x = 807,489.06 × 316,865
  4. Step 4: Simplify right side
    585,137x = 255,865,020,996.90
  5. Step 5: Solve for x
    x = 255,865,020,996.90/585,137
  6. Step 6: Final answer
    x = 437,273.70

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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.