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Finding the Fourth Proportional to 823,894.40, 1,233,422.40 and 614,460.80

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Solution

The fourth proportional to 823,894.40, 1,233,422.40 and 614,460.80 is: 919,886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,894.40 : 1,233,422.40 = 614,460.80 : x
  2. Step 2: Convert to fraction form
    823,894.40/1,233,422.40 = 614,460.80/x
  3. Step 3: Cross multiply
    823,894.40x = 1,233,422.40 × 614,460.80
  4. Step 4: Simplify right side
    823,894.40x = 757,889,714,641.92
  5. Step 5: Solve for x
    x = 757,889,714,641.92/823,894.40
  6. Step 6: Final answer
    x = 919,886.96

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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.