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Finding the Fourth Proportional to 205,058.40, 307,587.60 and 200,911.20

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Solution

The fourth proportional to 205,058.40, 307,587.60 and 200,911.20 is: 301,366.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,058.40 : 307,587.60 = 200,911.20 : x
  2. Step 2: Convert to fraction form
    205,058.40/307,587.60 = 200,911.20/x
  3. Step 3: Cross multiply
    205,058.40x = 307,587.60 × 200,911.20
  4. Step 4: Simplify right side
    205,058.40x = 61,797,793,821.12
  5. Step 5: Solve for x
    x = 61,797,793,821.12/205,058.40
  6. Step 6: Final answer
    x = 301,366.80

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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.