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Finding the Fourth Proportional to 586,038, 808,732.80 and 317,766

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Solution

The fourth proportional to 586,038, 808,732.80 and 317,766 is: 438,517.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,038 : 808,732.80 = 317,766 : x
  2. Step 2: Convert to fraction form
    586,038/808,732.80 = 317,766/x
  3. Step 3: Cross multiply
    586,038x = 808,732.80 × 317,766
  4. Step 4: Simplify right side
    586,038x = 256,987,786,924.80
  5. Step 5: Solve for x
    x = 256,987,786,924.80/586,038
  6. Step 6: Final answer
    x = 438,517.28

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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.