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Finding the Fourth Proportional to 820,374.40, 1,230,561.60 and 259,580.80

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Solution

The fourth proportional to 820,374.40, 1,230,561.60 and 259,580.80 is: 389,371.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,374.40 : 1,230,561.60 = 259,580.80 : x
  2. Step 2: Convert to fraction form
    820,374.40/1,230,561.60 = 259,580.80/x
  3. Step 3: Cross multiply
    820,374.40x = 1,230,561.60 × 259,580.80
  4. Step 4: Simplify right side
    820,374.40x = 319,430,164,577.28
  5. Step 5: Solve for x
    x = 319,430,164,577.28/820,374.40
  6. Step 6: Final answer
    x = 389,371.20

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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.