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Finding the Fourth Proportional to 257,061.82, 385,341.04 and 107,344.92

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Solution

The fourth proportional to 257,061.82, 385,341.04 and 107,344.92 is: 160,912.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,061.82 : 385,341.04 = 107,344.92 : x
  2. Step 2: Convert to fraction form
    257,061.82/385,341.04 = 107,344.92/x
  3. Step 3: Cross multiply
    257,061.82x = 385,341.04 × 107,344.92
  4. Step 4: Simplify right side
    257,061.82x = 41,364,403,531.48
  5. Step 5: Solve for x
    x = 41,364,403,531.48/257,061.82
  6. Step 6: Final answer
    x = 160,912.28

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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.