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Finding the Fourth Proportional to 381,139.96, 525,959.90 and 211,389.88

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Solution

The fourth proportional to 381,139.96, 525,959.90 and 211,389.88 is: 291,710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,139.96 : 525,959.90 = 211,389.88 : x
  2. Step 2: Convert to fraction form
    381,139.96/525,959.90 = 211,389.88/x
  3. Step 3: Cross multiply
    381,139.96x = 525,959.90 × 211,389.88
  4. Step 4: Simplify right side
    381,139.96x = 111,182,600,145.81
  5. Step 5: Solve for x
    x = 111,182,600,145.81/381,139.96
  6. Step 6: Final answer
    x = 291,710.69

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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.