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Finding the Fourth Proportional to 512,312, 768,472.32 and 179,888

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Solution

The fourth proportional to 512,312, 768,472.32 and 179,888 is: 269,833.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,312 : 768,472.32 = 179,888 : x
  2. Step 2: Convert to fraction form
    512,312/768,472.32 = 179,888/x
  3. Step 3: Cross multiply
    512,312x = 768,472.32 × 179,888
  4. Step 4: Simplify right side
    512,312x = 138,238,948,700.16
  5. Step 5: Solve for x
    x = 138,238,948,700.16/512,312
  6. Step 6: Final answer
    x = 269,833.52

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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.