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Finding the Fourth Proportional to 584,259, 806,277.42 and 315,987

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Solution

The fourth proportional to 584,259, 806,277.42 and 315,987 is: 436,062.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,259 : 806,277.42 = 315,987 : x
  2. Step 2: Convert to fraction form
    584,259/806,277.42 = 315,987/x
  3. Step 3: Cross multiply
    584,259x = 806,277.42 × 315,987
  4. Step 4: Simplify right side
    584,259x = 254,773,183,113.54
  5. Step 5: Solve for x
    x = 254,773,183,113.54/584,259
  6. Step 6: Final answer
    x = 436,062.06

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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.