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Finding the Fourth Proportional to 342,320.59, 513,275.84 and 162,450.78

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Solution

The fourth proportional to 342,320.59, 513,275.84 and 162,450.78 is: 243,578.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,320.59 : 513,275.84 = 162,450.78 : x
  2. Step 2: Convert to fraction form
    342,320.59/513,275.84 = 162,450.78/x
  3. Step 3: Cross multiply
    342,320.59x = 513,275.84 × 162,450.78
  4. Step 4: Simplify right side
    342,320.59x = 83,382,058,435.31
  5. Step 5: Solve for x
    x = 83,382,058,435.31/342,320.59
  6. Step 6: Final answer
    x = 243,578.86

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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.