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Finding the Fourth Proportional to 257,455.65, 385,680.72 and 122,327.42

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Solution

The fourth proportional to 257,455.65, 385,680.72 and 122,327.42 is: 183,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,455.65 : 385,680.72 = 122,327.42 : x
  2. Step 2: Convert to fraction form
    257,455.65/385,680.72 = 122,327.42/x
  3. Step 3: Cross multiply
    257,455.65x = 385,680.72 × 122,327.42
  4. Step 4: Simplify right side
    257,455.65x = 47,179,325,492.94
  5. Step 5: Solve for x
    x = 47,179,325,492.94/257,455.65
  6. Step 6: Final answer
    x = 183,252.24

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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.