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Finding the Fourth Proportional to 584,260, 806,278.80 and 315,988

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Solution

The fourth proportional to 584,260, 806,278.80 and 315,988 is: 436,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,260 : 806,278.80 = 315,988 : x
  2. Step 2: Convert to fraction form
    584,260/806,278.80 = 315,988/x
  3. Step 3: Cross multiply
    584,260x = 806,278.80 × 315,988
  4. Step 4: Simplify right side
    584,260x = 254,774,425,454.40
  5. Step 5: Solve for x
    x = 254,774,425,454.40/584,260
  6. Step 6: Final answer
    x = 436,063.44

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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.