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Finding the Fourth Proportional to 380,655.84, 571,217.04 and 302,040.48

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Solution

The fourth proportional to 380,655.84, 571,217.04 and 302,040.48 is: 453,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,655.84 : 571,217.04 = 302,040.48 : x
  2. Step 2: Convert to fraction form
    380,655.84/571,217.04 = 302,040.48/x
  3. Step 3: Cross multiply
    380,655.84x = 571,217.04 × 302,040.48
  4. Step 4: Simplify right side
    380,655.84x = 172,530,668,945.78
  5. Step 5: Solve for x
    x = 172,530,668,945.78/380,655.84
  6. Step 6: Final answer
    x = 453,245.82

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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.