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Finding the Fourth Proportional to 342,398.32, 513,319.10 and 142,867.32

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Solution

The fourth proportional to 342,398.32, 513,319.10 and 142,867.32 is: 214,184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,398.32 : 513,319.10 = 142,867.32 : x
  2. Step 2: Convert to fraction form
    342,398.32/513,319.10 = 142,867.32/x
  3. Step 3: Cross multiply
    342,398.32x = 513,319.10 × 142,867.32
  4. Step 4: Simplify right side
    342,398.32x = 73,336,524,121.81
  5. Step 5: Solve for x
    x = 73,336,524,121.81/342,398.32
  6. Step 6: Final answer
    x = 214,184.82

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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.