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Finding the Fourth Proportional to 347,882.60, 521,132.70 and 189,828.20

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Solution

The fourth proportional to 347,882.60, 521,132.70 and 189,828.20 is: 284,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,882.60 : 521,132.70 = 189,828.20 : x
  2. Step 2: Convert to fraction form
    347,882.60/521,132.70 = 189,828.20/x
  3. Step 3: Cross multiply
    347,882.60x = 521,132.70 × 189,828.20
  4. Step 4: Simplify right side
    347,882.60x = 98,925,682,402.14
  5. Step 5: Solve for x
    x = 98,925,682,402.14/347,882.60
  6. Step 6: Final answer
    x = 284,365.13

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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.