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Finding the Fourth Proportional to 648,472.60, 972,854.70 and 199,214.20

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Solution

The fourth proportional to 648,472.60, 972,854.70 and 199,214.20 is: 298,866.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,472.60 : 972,854.70 = 199,214.20 : x
  2. Step 2: Convert to fraction form
    648,472.60/972,854.70 = 199,214.20/x
  3. Step 3: Cross multiply
    648,472.60x = 972,854.70 × 199,214.20
  4. Step 4: Simplify right side
    648,472.60x = 193,806,470,776.74
  5. Step 5: Solve for x
    x = 193,806,470,776.74/648,472.60
  6. Step 6: Final answer
    x = 298,866.09

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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.