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Finding the Fourth Proportional to 820,165.20, 1,230,247.80 and 706,003.80

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Solution

The fourth proportional to 820,165.20, 1,230,247.80 and 706,003.80 is: 1,059,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,165.20 : 1,230,247.80 = 706,003.80 : x
  2. Step 2: Convert to fraction form
    820,165.20/1,230,247.80 = 706,003.80/x
  3. Step 3: Cross multiply
    820,165.20x = 1,230,247.80 × 706,003.80
  4. Step 4: Simplify right side
    820,165.20x = 868,559,621,741.64
  5. Step 5: Solve for x
    x = 868,559,621,741.64/820,165.20
  6. Step 6: Final answer
    x = 1,059,005.70

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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.