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Finding the Fourth Proportional to 392,555.80, 589,028.10 and 224,205.40

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Solution

The fourth proportional to 392,555.80, 589,028.10 and 224,205.40 is: 336,419.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,555.80 : 589,028.10 = 224,205.40 : x
  2. Step 2: Convert to fraction form
    392,555.80/589,028.10 = 224,205.40/x
  3. Step 3: Cross multiply
    392,555.80x = 589,028.10 × 224,205.40
  4. Step 4: Simplify right side
    392,555.80x = 132,063,280,771.74
  5. Step 5: Solve for x
    x = 132,063,280,771.74/392,555.80
  6. Step 6: Final answer
    x = 336,419.13

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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.