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Finding the Fourth Proportional to 381,020.50, 525,826.52 and 211,254.63

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Solution

The fourth proportional to 381,020.50, 525,826.52 and 211,254.63 is: 291,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,020.50 : 525,826.52 = 211,254.63 : x
  2. Step 2: Convert to fraction form
    381,020.50/525,826.52 = 211,254.63/x
  3. Step 3: Cross multiply
    381,020.50x = 525,826.52 × 211,254.63
  4. Step 4: Simplify right side
    381,020.50x = 111,083,286,926.79
  5. Step 5: Solve for x
    x = 111,083,286,926.79/381,020.50
  6. Step 6: Final answer
    x = 291,541.50

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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.