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Finding the Fourth Proportional to 469,266, 645,189.20 and 417,788.88

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Solution

The fourth proportional to 469,266, 645,189.20 and 417,788.88 is: 574,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,266 : 645,189.20 = 417,788.88 : x
  2. Step 2: Convert to fraction form
    469,266/645,189.20 = 417,788.88/x
  3. Step 3: Cross multiply
    469,266x = 645,189.20 × 417,788.88
  4. Step 4: Simplify right side
    469,266x = 269,552,873,256.10
  5. Step 5: Solve for x
    x = 269,552,873,256.10/469,266
  6. Step 6: Final answer
    x = 574,413.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.