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Finding the Fourth Proportional to 489,407.68, 675,404.85 and 285,462.64

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Solution

The fourth proportional to 489,407.68, 675,404.85 and 285,462.64 is: 393,951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,407.68 : 675,404.85 = 285,462.64 : x
  2. Step 2: Convert to fraction form
    489,407.68/675,404.85 = 285,462.64/x
  3. Step 3: Cross multiply
    489,407.68x = 675,404.85 × 285,462.64
  4. Step 4: Simplify right side
    489,407.68x = 192,802,851,549.80
  5. Step 5: Solve for x
    x = 192,802,851,549.80/489,407.68
  6. Step 6: Final answer
    x = 393,951.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.