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Finding the Fourth Proportional to 584,670, 806,845.68 and 316,398

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Solution

The fourth proportional to 584,670, 806,845.68 and 316,398 is: 436,629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,670 : 806,845.68 = 316,398 : x
  2. Step 2: Convert to fraction form
    584,670/806,845.68 = 316,398/x
  3. Step 3: Cross multiply
    584,670x = 806,845.68 × 316,398
  4. Step 4: Simplify right side
    584,670x = 255,284,359,460.64
  5. Step 5: Solve for x
    x = 255,284,359,460.64/584,670
  6. Step 6: Final answer
    x = 436,629.82

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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.