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Finding the Fourth Proportional to 646,794.90, 970,337.79 and 197,478.18

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Solution

The fourth proportional to 646,794.90, 970,337.79 and 197,478.18 is: 296,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,794.90 : 970,337.79 = 197,478.18 : x
  2. Step 2: Convert to fraction form
    646,794.90/970,337.79 = 197,478.18/x
  3. Step 3: Cross multiply
    646,794.90x = 970,337.79 × 197,478.18
  4. Step 4: Simplify right side
    646,794.90x = 191,620,540,754.42
  5. Step 5: Solve for x
    x = 191,620,540,754.42/646,794.90
  6. Step 6: Final answer
    x = 296,261.68

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Double scale
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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.