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Finding the Fourth Proportional to 647,206.03, 970,046.57 and 291,803.95

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Solution

The fourth proportional to 647,206.03, 970,046.57 and 291,803.95 is: 437,362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,206.03 : 970,046.57 = 291,803.95 : x
  2. Step 2: Convert to fraction form
    647,206.03/970,046.57 = 291,803.95/x
  3. Step 3: Cross multiply
    647,206.03x = 970,046.57 × 291,803.95
  4. Step 4: Simplify right side
    647,206.03x = 283,063,419,350.93
  5. Step 5: Solve for x
    x = 283,063,419,350.93/647,206.03
  6. Step 6: Final answer
    x = 437,362.15

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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.