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Finding the Fourth Proportional to 415,388.52, 623,142.90 and 130,982.52

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Solution

The fourth proportional to 415,388.52, 623,142.90 and 130,982.52 is: 196,492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,388.52 : 623,142.90 = 130,982.52 : x
  2. Step 2: Convert to fraction form
    415,388.52/623,142.90 = 130,982.52/x
  3. Step 3: Cross multiply
    415,388.52x = 623,142.90 × 130,982.52
  4. Step 4: Simplify right side
    415,388.52x = 81,620,827,362.11
  5. Step 5: Solve for x
    x = 81,620,827,362.11/415,388.52
  6. Step 6: Final answer
    x = 196,492.74

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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.