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Finding the Fourth Proportional to 313,781.40, 471,062.10 and 312,342.84

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Solution

The fourth proportional to 313,781.40, 471,062.10 and 312,342.84 is: 468,902.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,781.40 : 471,062.10 = 312,342.84 : x
  2. Step 2: Convert to fraction form
    313,781.40/471,062.10 = 312,342.84/x
  3. Step 3: Cross multiply
    313,781.40x = 471,062.10 × 312,342.84
  4. Step 4: Simplify right side
    313,781.40x = 147,132,874,130.36
  5. Step 5: Solve for x
    x = 147,132,874,130.36/313,781.40
  6. Step 6: Final answer
    x = 468,902.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.