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Finding the Fourth Proportional to 372,446.82, 513,954.18 and 209,091.24

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Solution

The fourth proportional to 372,446.82, 513,954.18 and 209,091.24 is: 288,533.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,446.82 : 513,954.18 = 209,091.24 : x
  2. Step 2: Convert to fraction form
    372,446.82/513,954.18 = 209,091.24/x
  3. Step 3: Cross multiply
    372,446.82x = 513,954.18 × 209,091.24
  4. Step 4: Simplify right side
    372,446.82x = 107,463,316,799.38
  5. Step 5: Solve for x
    x = 107,463,316,799.38/372,446.82
  6. Step 6: Final answer
    x = 288,533.32

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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.