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Finding the Fourth Proportional to 313,654.59, 470,718.48 and 145,293.05

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Solution

The fourth proportional to 313,654.59, 470,718.48 and 145,293.05 is: 218,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,654.59 : 470,718.48 = 145,293.05 : x
  2. Step 2: Convert to fraction form
    313,654.59/470,718.48 = 145,293.05/x
  3. Step 3: Cross multiply
    313,654.59x = 470,718.48 × 145,293.05
  4. Step 4: Simplify right side
    313,654.59x = 68,392,121,296.97
  5. Step 5: Solve for x
    x = 68,392,121,296.97/313,654.59
  6. Step 6: Final answer
    x = 218,049.16

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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.