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Finding the Fourth Proportional to 313,788.49, 467,360.92 and 312,259.21

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Solution

The fourth proportional to 313,788.49, 467,360.92 and 312,259.21 is: 465,083.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,788.49 : 467,360.92 = 312,259.21 : x
  2. Step 2: Convert to fraction form
    313,788.49/467,360.92 = 312,259.21/x
  3. Step 3: Cross multiply
    313,788.49x = 467,360.92 × 312,259.21
  4. Step 4: Simplify right side
    313,788.49x = 145,937,747,765.97
  5. Step 5: Solve for x
    x = 145,937,747,765.97/313,788.49
  6. Step 6: Final answer
    x = 465,083.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.