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Finding the Fourth Proportional to 282,031.76, 389,148.24 and 167,288.78

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Solution

The fourth proportional to 282,031.76, 389,148.24 and 167,288.78 is: 230,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,031.76 : 389,148.24 = 167,288.78 : x
  2. Step 2: Convert to fraction form
    282,031.76/389,148.24 = 167,288.78/x
  3. Step 3: Cross multiply
    282,031.76x = 389,148.24 × 167,288.78
  4. Step 4: Simplify right side
    282,031.76x = 65,100,134,308.75
  5. Step 5: Solve for x
    x = 65,100,134,308.75/282,031.76
  6. Step 6: Final answer
    x = 230,825.54

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1.5x scale

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.