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Finding the Fourth Proportional to 1,159,862.80, 1,739,794.20 and 823,939.60

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Solution

The fourth proportional to 1,159,862.80, 1,739,794.20 and 823,939.60 is: 1,235,909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,862.80 : 1,739,794.20 = 823,939.60 : x
  2. Step 2: Convert to fraction form
    1,159,862.80/1,739,794.20 = 823,939.60/x
  3. Step 3: Cross multiply
    1,159,862.80x = 1,739,794.20 × 823,939.60
  4. Step 4: Simplify right side
    1,159,862.80x = 1,433,485,337,230.32
  5. Step 5: Solve for x
    x = 1,433,485,337,230.32/1,159,862.80
  6. Step 6: Final answer
    x = 1,235,909.40

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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.