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Finding the Fourth Proportional to 342,488.32, 513,513.78 and 164,641.48

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Solution

The fourth proportional to 342,488.32, 513,513.78 and 164,641.48 is: 246,857.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,488.32 : 513,513.78 = 164,641.48 : x
  2. Step 2: Convert to fraction form
    342,488.32/513,513.78 = 164,641.48/x
  3. Step 3: Cross multiply
    342,488.32x = 513,513.78 × 164,641.48
  4. Step 4: Simplify right side
    342,488.32x = 84,545,668,739.59
  5. Step 5: Solve for x
    x = 84,545,668,739.59/342,488.32
  6. Step 6: Final answer
    x = 246,857.09

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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.