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Finding the Fourth Proportional to 205,410.40, 288,404 and 205,410.40

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Solution

The fourth proportional to 205,410.40, 288,404 and 205,410.40 is: 288,404

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,410.40 : 288,404 = 205,410.40 : x
  2. Step 2: Convert to fraction form
    205,410.40/288,404 = 205,410.40/x
  3. Step 3: Cross multiply
    205,410.40x = 288,404 × 205,410.40
  4. Step 4: Simplify right side
    205,410.40x = 59,241,181,001.60
  5. Step 5: Solve for x
    x = 59,241,181,001.60/205,410.40
  6. Step 6: Final answer
    x = 288,404

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.