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Finding the Fourth Proportional to 584,694, 806,879.88 and 316,422

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Solution

The fourth proportional to 584,694, 806,879.88 and 316,422 is: 436,663.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,694 : 806,879.88 = 316,422 : x
  2. Step 2: Convert to fraction form
    584,694/806,879.88 = 316,422/x
  3. Step 3: Cross multiply
    584,694x = 806,879.88 × 316,422
  4. Step 4: Simplify right side
    584,694x = 255,314,545,389.36
  5. Step 5: Solve for x
    x = 255,314,545,389.36/584,694
  6. Step 6: Final answer
    x = 436,663.53

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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.