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Finding the Fourth Proportional to 342,162.75, 513,233.50 and 142,478.11

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Solution

The fourth proportional to 342,162.75, 513,233.50 and 142,478.11 is: 213,712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,162.75 : 513,233.50 = 142,478.11 : x
  2. Step 2: Convert to fraction form
    342,162.75/513,233.50 = 142,478.11/x
  3. Step 3: Cross multiply
    342,162.75x = 513,233.50 × 142,478.11
  4. Step 4: Simplify right side
    342,162.75x = 73,124,539,068.69
  5. Step 5: Solve for x
    x = 73,124,539,068.69/342,162.75
  6. Step 6: Final answer
    x = 213,712.74

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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.