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Finding the Fourth Proportional to 257,040.56, 385,498.74 and 99,168.32

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Solution

The fourth proportional to 257,040.56, 385,498.74 and 99,168.32 is: 148,728.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,040.56 : 385,498.74 = 99,168.32 : x
  2. Step 2: Convert to fraction form
    257,040.56/385,498.74 = 99,168.32/x
  3. Step 3: Cross multiply
    257,040.56x = 385,498.74 × 99,168.32
  4. Step 4: Simplify right side
    257,040.56x = 38,229,262,407.92
  5. Step 5: Solve for x
    x = 38,229,262,407.92/257,040.56
  6. Step 6: Final answer
    x = 148,728.52

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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.