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Finding the Fourth Proportional to 308,978.20, 463,467.30 and 121,965.40

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Solution

The fourth proportional to 308,978.20, 463,467.30 and 121,965.40 is: 182,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,978.20 : 463,467.30 = 121,965.40 : x
  2. Step 2: Convert to fraction form
    308,978.20/463,467.30 = 121,965.40/x
  3. Step 3: Cross multiply
    308,978.20x = 463,467.30 × 121,965.40
  4. Step 4: Simplify right side
    308,978.20x = 56,526,974,631.42
  5. Step 5: Solve for x
    x = 56,526,974,631.42/308,978.20
  6. Step 6: Final answer
    x = 182,948.10

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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.