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Finding the Fourth Proportional to 393,309.54, 542,762.10 and 223,532.46

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Solution

The fourth proportional to 393,309.54, 542,762.10 and 223,532.46 is: 308,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,309.54 : 542,762.10 = 223,532.46 : x
  2. Step 2: Convert to fraction form
    393,309.54/542,762.10 = 223,532.46/x
  3. Step 3: Cross multiply
    393,309.54x = 542,762.10 × 223,532.46
  4. Step 4: Simplify right side
    393,309.54x = 121,324,947,407.77
  5. Step 5: Solve for x
    x = 121,324,947,407.77/393,309.54
  6. Step 6: Final answer
    x = 308,471.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.