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Finding the Fourth Proportional to 646,713.60, 970,216.20 and 197,455.20

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Solution

The fourth proportional to 646,713.60, 970,216.20 and 197,455.20 is: 296,227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,713.60 : 970,216.20 = 197,455.20 : x
  2. Step 2: Convert to fraction form
    646,713.60/970,216.20 = 197,455.20/x
  3. Step 3: Cross multiply
    646,713.60x = 970,216.20 × 197,455.20
  4. Step 4: Simplify right side
    646,713.60x = 191,574,233,814.24
  5. Step 5: Solve for x
    x = 191,574,233,814.24/646,713.60
  6. Step 6: Final answer
    x = 296,227.32

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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.