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Finding the Fourth Proportional to 830,415.60, 1,245,930.60 and 269,468.40

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Solution

The fourth proportional to 830,415.60, 1,245,930.60 and 269,468.40 is: 404,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,415.60 : 1,245,930.60 = 269,468.40 : x
  2. Step 2: Convert to fraction form
    830,415.60/1,245,930.60 = 269,468.40/x
  3. Step 3: Cross multiply
    830,415.60x = 1,245,930.60 × 269,468.40
  4. Step 4: Simplify right side
    830,415.60x = 335,738,925,293.04
  5. Step 5: Solve for x
    x = 335,738,925,293.04/830,415.60
  6. Step 6: Final answer
    x = 404,302.29

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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.