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Finding the Fourth Proportional to 342,148.80, 513,223.20 and 105,470.40

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Solution

The fourth proportional to 342,148.80, 513,223.20 and 105,470.40 is: 158,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,148.80 : 513,223.20 = 105,470.40 : x
  2. Step 2: Convert to fraction form
    342,148.80/513,223.20 = 105,470.40/x
  3. Step 3: Cross multiply
    342,148.80x = 513,223.20 × 105,470.40
  4. Step 4: Simplify right side
    342,148.80x = 54,129,856,193.28
  5. Step 5: Solve for x
    x = 54,129,856,193.28/342,148.80
  6. Step 6: Final answer
    x = 158,205.60

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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.