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Finding the Fourth Proportional to 342,665.86, 513,703.32 and 165,297.46

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Solution

The fourth proportional to 342,665.86, 513,703.32 and 165,297.46 is: 247,803.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,665.86 : 513,703.32 = 165,297.46 : x
  2. Step 2: Convert to fraction form
    342,665.86/513,703.32 = 165,297.46/x
  3. Step 3: Cross multiply
    342,665.86x = 513,703.32 × 165,297.46
  4. Step 4: Simplify right side
    342,665.86x = 84,913,853,989.57
  5. Step 5: Solve for x
    x = 84,913,853,989.57/342,665.86
  6. Step 6: Final answer
    x = 247,803.66

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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.