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Finding the Fourth Proportional to 647,062.40, 970,420.80 and 197,782.40

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Solution

The fourth proportional to 647,062.40, 970,420.80 and 197,782.40 is: 296,620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,062.40 : 970,420.80 = 197,782.40 : x
  2. Step 2: Convert to fraction form
    647,062.40/970,420.80 = 197,782.40/x
  3. Step 3: Cross multiply
    647,062.40x = 970,420.80 × 197,782.40
  4. Step 4: Simplify right side
    647,062.40x = 191,932,154,833.92
  5. Step 5: Solve for x
    x = 191,932,154,833.92/647,062.40
  6. Step 6: Final answer
    x = 296,620.78

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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.