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Finding the Fourth Proportional to 352,436, 486,140.40 and 209,094.56

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Solution

The fourth proportional to 352,436, 486,140.40 and 209,094.56 is: 288,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,436 : 486,140.40 = 209,094.56 : x
  2. Step 2: Convert to fraction form
    352,436/486,140.40 = 209,094.56/x
  3. Step 3: Cross multiply
    352,436x = 486,140.40 × 209,094.56
  4. Step 4: Simplify right side
    352,436x = 101,649,313,036.22
  5. Step 5: Solve for x
    x = 101,649,313,036.22/352,436
  6. Step 6: Final answer
    x = 288,419.21

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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.