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Finding the Fourth Proportional to 646,574.70, 970,012.87 and 197,294.74

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Solution

The fourth proportional to 646,574.70, 970,012.87 and 197,294.74 is: 295,988.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,574.70 : 970,012.87 = 197,294.74 : x
  2. Step 2: Convert to fraction form
    646,574.70/970,012.87 = 197,294.74/x
  3. Step 3: Cross multiply
    646,574.70x = 970,012.87 × 197,294.74
  4. Step 4: Simplify right side
    646,574.70x = 191,378,434,065.04
  5. Step 5: Solve for x
    x = 191,378,434,065.04/646,574.70
  6. Step 6: Final answer
    x = 295,988.12

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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.