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Finding the Fourth Proportional to 209,414.48, 314,002.70 and 142,935.08

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Solution

The fourth proportional to 209,414.48, 314,002.70 and 142,935.08 is: 214,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,414.48 : 314,002.70 = 142,935.08 : x
  2. Step 2: Convert to fraction form
    209,414.48/314,002.70 = 142,935.08/x
  3. Step 3: Cross multiply
    209,414.48x = 314,002.70 × 142,935.08
  4. Step 4: Simplify right side
    209,414.48x = 44,882,001,044.72
  5. Step 5: Solve for x
    x = 44,882,001,044.72/209,414.48
  6. Step 6: Final answer
    x = 214,321.38

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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.