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Finding the Fourth Proportional to 345,879.90, 477,176.54 and 209,863.89

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Solution

The fourth proportional to 345,879.90, 477,176.54 and 209,863.89 is: 289,528.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,879.90 : 477,176.54 = 209,863.89 : x
  2. Step 2: Convert to fraction form
    345,879.90/477,176.54 = 209,863.89/x
  3. Step 3: Cross multiply
    345,879.90x = 477,176.54 × 209,863.89
  4. Step 4: Simplify right side
    345,879.90x = 100,142,123,851.82
  5. Step 5: Solve for x
    x = 100,142,123,851.82/345,879.90
  6. Step 6: Final answer
    x = 289,528.60

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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.