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Finding the Fourth Proportional to 646,720.60, 970,226.70 and 197,462.20

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Solution

The fourth proportional to 646,720.60, 970,226.70 and 197,462.20 is: 296,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,720.60 : 970,226.70 = 197,462.20 : x
  2. Step 2: Convert to fraction form
    646,720.60/970,226.70 = 197,462.20/x
  3. Step 3: Cross multiply
    646,720.60x = 970,226.70 × 197,462.20
  4. Step 4: Simplify right side
    646,720.60x = 191,583,098,680.74
  5. Step 5: Solve for x
    x = 191,583,098,680.74/646,720.60
  6. Step 6: Final answer
    x = 296,237.82

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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.