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Finding the Fourth Proportional to 298,718.08, 447,854.52 and 130,206.40

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Solution

The fourth proportional to 298,718.08, 447,854.52 and 130,206.40 is: 195,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,718.08 : 447,854.52 = 130,206.40 : x
  2. Step 2: Convert to fraction form
    298,718.08/447,854.52 = 130,206.40/x
  3. Step 3: Cross multiply
    298,718.08x = 447,854.52 × 130,206.40
  4. Step 4: Simplify right side
    298,718.08x = 58,313,524,772.93
  5. Step 5: Solve for x
    x = 58,313,524,772.93/298,718.08
  6. Step 6: Final answer
    x = 195,212.57

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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.