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Finding the Fourth Proportional to 420,197.33, 630,298.31 and 104,654.25

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Solution

The fourth proportional to 420,197.33, 630,298.31 and 104,654.25 is: 156,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,197.33 : 630,298.31 = 104,654.25 : x
  2. Step 2: Convert to fraction form
    420,197.33/630,298.31 = 104,654.25/x
  3. Step 3: Cross multiply
    420,197.33x = 630,298.31 × 104,654.25
  4. Step 4: Simplify right side
    420,197.33x = 65,963,396,386.05
  5. Step 5: Solve for x
    x = 65,963,396,386.05/420,197.33
  6. Step 6: Final answer
    x = 156,981.95

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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.