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Finding the Fourth Proportional to 381,542.40, 571,852.80 and 194,457.60

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Solution

The fourth proportional to 381,542.40, 571,852.80 and 194,457.60 is: 291,451.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,542.40 : 571,852.80 = 194,457.60 : x
  2. Step 2: Convert to fraction form
    381,542.40/571,852.80 = 194,457.60/x
  3. Step 3: Cross multiply
    381,542.40x = 571,852.80 × 194,457.60
  4. Step 4: Simplify right side
    381,542.40x = 111,201,123,041.28
  5. Step 5: Solve for x
    x = 111,201,123,041.28/381,542.40
  6. Step 6: Final answer
    x = 291,451.55

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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.