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Finding the Fourth Proportional to 646,770.96, 970,082.12 and 173,419.11

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Solution

The fourth proportional to 646,770.96, 970,082.12 and 173,419.11 is: 260,108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,770.96 : 970,082.12 = 173,419.11 : x
  2. Step 2: Convert to fraction form
    646,770.96/970,082.12 = 173,419.11/x
  3. Step 3: Cross multiply
    646,770.96x = 970,082.12 × 173,419.11
  4. Step 4: Simplify right side
    646,770.96x = 168,230,778,310.86
  5. Step 5: Solve for x
    x = 168,230,778,310.86/646,770.96
  6. Step 6: Final answer
    x = 260,108.74

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1.5x scale

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.