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Finding the Fourth Proportional to 352,301.70, 486,302.43 and 209,061.74

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Solution

The fourth proportional to 352,301.70, 486,302.43 and 209,061.74 is: 288,580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,301.70 : 486,302.43 = 209,061.74 : x
  2. Step 2: Convert to fraction form
    352,301.70/486,302.43 = 209,061.74/x
  3. Step 3: Cross multiply
    352,301.70x = 486,302.43 × 209,061.74
  4. Step 4: Simplify right side
    352,301.70x = 101,667,234,181.77
  5. Step 5: Solve for x
    x = 101,667,234,181.77/352,301.70
  6. Step 6: Final answer
    x = 288,580.02

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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.