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Finding the Fourth Proportional to 257,204.88, 385,807.36 and 107,363.42

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Solution

The fourth proportional to 257,204.88, 385,807.36 and 107,363.42 is: 161,045.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,204.88 : 385,807.36 = 107,363.42 : x
  2. Step 2: Convert to fraction form
    257,204.88/385,807.36 = 107,363.42/x
  3. Step 3: Cross multiply
    257,204.88x = 385,807.36 × 107,363.42
  4. Step 4: Simplify right side
    257,204.88x = 41,421,597,630.77
  5. Step 5: Solve for x
    x = 41,421,597,630.77/257,204.88
  6. Step 6: Final answer
    x = 161,045.15

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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.