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Finding the Fourth Proportional to 647,196.28, 970,031.93 and 291,794.20

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Solution

The fourth proportional to 647,196.28, 970,031.93 and 291,794.20 is: 437,347.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,196.28 : 970,031.93 = 291,794.20 : x
  2. Step 2: Convert to fraction form
    647,196.28/970,031.93 = 291,794.20/x
  3. Step 3: Cross multiply
    647,196.28x = 970,031.93 × 291,794.20
  4. Step 4: Simplify right side
    647,196.28x = 283,049,690,988.81
  5. Step 5: Solve for x
    x = 283,049,690,988.81/647,196.28
  6. Step 6: Final answer
    x = 437,347.52

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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.