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Finding the Fourth Proportional to 296,915.75, 409,479.17 and 231,520.78

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Solution

The fourth proportional to 296,915.75, 409,479.17 and 231,520.78 is: 319,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,915.75 : 409,479.17 = 231,520.78 : x
  2. Step 2: Convert to fraction form
    296,915.75/409,479.17 = 231,520.78/x
  3. Step 3: Cross multiply
    296,915.75x = 409,479.17 × 231,520.78
  4. Step 4: Simplify right side
    296,915.75x = 94,802,938,139.85
  5. Step 5: Solve for x
    x = 94,802,938,139.85/296,915.75
  6. Step 6: Final answer
    x = 319,292.38

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1.5x scale

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.