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Finding the Fourth Proportional to 521,247, 719,316 and 294,892.50

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Solution

The fourth proportional to 521,247, 719,316 and 294,892.50 is: 406,948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,247 : 719,316 = 294,892.50 : x
  2. Step 2: Convert to fraction form
    521,247/719,316 = 294,892.50/x
  3. Step 3: Cross multiply
    521,247x = 719,316 × 294,892.50
  4. Step 4: Simplify right side
    521,247x = 212,120,893,530
  5. Step 5: Solve for x
    x = 212,120,893,530/521,247
  6. Step 6: Final answer
    x = 406,948.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.