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Finding the Fourth Proportional to 538,704.47, 743,416.99 and 296,995.61

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Solution

The fourth proportional to 538,704.47, 743,416.99 and 296,995.61 is: 409,856.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,704.47 : 743,416.99 = 296,995.61 : x
  2. Step 2: Convert to fraction form
    538,704.47/743,416.99 = 296,995.61/x
  3. Step 3: Cross multiply
    538,704.47x = 743,416.99 × 296,995.61
  4. Step 4: Simplify right side
    538,704.47x = 220,791,583,545.47
  5. Step 5: Solve for x
    x = 220,791,583,545.47/538,704.47
  6. Step 6: Final answer
    x = 409,856.60

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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.