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Finding the Fourth Proportional to 647,208.78, 970,050.66 and 291,806.70

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Solution

The fourth proportional to 647,208.78, 970,050.66 and 291,806.70 is: 437,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,208.78 : 970,050.66 = 291,806.70 : x
  2. Step 2: Convert to fraction form
    647,208.78/970,050.66 = 291,806.70/x
  3. Step 3: Cross multiply
    647,208.78x = 970,050.66 × 291,806.70
  4. Step 4: Simplify right side
    647,208.78x = 283,067,281,927.42
  5. Step 5: Solve for x
    x = 283,067,281,927.42/647,208.78
  6. Step 6: Final answer
    x = 437,366.26

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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.