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Finding the Fourth Proportional to 381,126.33, 525,955.10 and 209,045.70

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Solution

The fourth proportional to 381,126.33, 525,955.10 and 209,045.70 is: 288,483.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,126.33 : 525,955.10 = 209,045.70 : x
  2. Step 2: Convert to fraction form
    381,126.33/525,955.10 = 209,045.70/x
  3. Step 3: Cross multiply
    381,126.33x = 525,955.10 × 209,045.70
  4. Step 4: Simplify right side
    381,126.33x = 109,948,651,002.84
  5. Step 5: Solve for x
    x = 109,948,651,002.84/381,126.33
  6. Step 6: Final answer
    x = 288,483.48

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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.