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Finding the Fourth Proportional to 345,358.47, 476,468.28 and 209,294.27

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Solution

The fourth proportional to 345,358.47, 476,468.28 and 209,294.27 is: 288,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,358.47 : 476,468.28 = 209,294.27 : x
  2. Step 2: Convert to fraction form
    345,358.47/476,468.28 = 209,294.27/x
  3. Step 3: Cross multiply
    345,358.47x = 476,468.28 × 209,294.27
  4. Step 4: Simplify right side
    345,358.47x = 99,722,078,458.41
  5. Step 5: Solve for x
    x = 99,722,078,458.41/345,358.47
  6. Step 6: Final answer
    x = 288,749.48

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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.