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Finding the Fourth Proportional to 342,342.86, 513,635.85 and 152,785.98

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Solution

The fourth proportional to 342,342.86, 513,635.85 and 152,785.98 is: 229,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,342.86 : 513,635.85 = 152,785.98 : x
  2. Step 2: Convert to fraction form
    342,342.86/513,635.85 = 152,785.98/x
  3. Step 3: Cross multiply
    342,342.86x = 513,635.85 × 152,785.98
  4. Step 4: Simplify right side
    342,342.86x = 78,476,356,705.38
  5. Step 5: Solve for x
    x = 78,476,356,705.38/342,342.86
  6. Step 6: Final answer
    x = 229,233.22

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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.