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Finding the Fourth Proportional to 654,263.20, 982,021.20 and 338,946.40

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Solution

The fourth proportional to 654,263.20, 982,021.20 and 338,946.40 is: 508,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,263.20 : 982,021.20 = 338,946.40 : x
  2. Step 2: Convert to fraction form
    654,263.20/982,021.20 = 338,946.40/x
  3. Step 3: Cross multiply
    654,263.20x = 982,021.20 × 338,946.40
  4. Step 4: Simplify right side
    654,263.20x = 332,852,550,463.68
  5. Step 5: Solve for x
    x = 332,852,550,463.68/654,263.20
  6. Step 6: Final answer
    x = 508,744.11

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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.