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Finding the Fourth Proportional to 296,747.58, 409,510.17 and 160,780.58

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Solution

The fourth proportional to 296,747.58, 409,510.17 and 160,780.58 is: 221,876.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,747.58 : 409,510.17 = 160,780.58 : x
  2. Step 2: Convert to fraction form
    296,747.58/409,510.17 = 160,780.58/x
  3. Step 3: Cross multiply
    296,747.58x = 409,510.17 × 160,780.58
  4. Step 4: Simplify right side
    296,747.58x = 65,841,280,600.95
  5. Step 5: Solve for x
    x = 65,841,280,600.95/296,747.58
  6. Step 6: Final answer
    x = 221,876.39

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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.