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Finding the Fourth Proportional to 646,701.60, 970,198.20 and 197,443.20

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Solution

The fourth proportional to 646,701.60, 970,198.20 and 197,443.20 is: 296,209.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,701.60 : 970,198.20 = 197,443.20 : x
  2. Step 2: Convert to fraction form
    646,701.60/970,198.20 = 197,443.20/x
  3. Step 3: Cross multiply
    646,701.60x = 970,198.20 × 197,443.20
  4. Step 4: Simplify right side
    646,701.60x = 191,559,037,242.24
  5. Step 5: Solve for x
    x = 191,559,037,242.24/646,701.60
  6. Step 6: Final answer
    x = 296,209.31

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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.