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Finding the Fourth Proportional to 584,290, 806,320.26 and 316,018

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Solution

The fourth proportional to 584,290, 806,320.26 and 316,018 is: 436,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,290 : 806,320.26 = 316,018 : x
  2. Step 2: Convert to fraction form
    584,290/806,320.26 = 316,018/x
  3. Step 3: Cross multiply
    584,290x = 806,320.26 × 316,018
  4. Step 4: Simplify right side
    584,290x = 254,811,715,924.68
  5. Step 5: Solve for x
    x = 254,811,715,924.68/584,290
  6. Step 6: Final answer
    x = 436,104.87

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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.