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Finding the Fourth Proportional to 257,152.01, 385,789.56 and 107,308.92

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Solution

The fourth proportional to 257,152.01, 385,789.56 and 107,308.92 is: 160,989.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,152.01 : 385,789.56 = 107,308.92 : x
  2. Step 2: Convert to fraction form
    257,152.01/385,789.56 = 107,308.92/x
  3. Step 3: Cross multiply
    257,152.01x = 385,789.56 × 107,308.92
  4. Step 4: Simplify right side
    257,152.01x = 41,398,661,030.88
  5. Step 5: Solve for x
    x = 41,398,661,030.88/257,152.01
  6. Step 6: Final answer
    x = 160,989.07

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1.5x scale

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.