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Finding the Fourth Proportional to 686,520.80, 1,029,166.80 and 265,656.80

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Solution

The fourth proportional to 686,520.80, 1,029,166.80 and 265,656.80 is: 398,247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,520.80 : 1,029,166.80 = 265,656.80 : x
  2. Step 2: Convert to fraction form
    686,520.80/1,029,166.80 = 265,656.80/x
  3. Step 3: Cross multiply
    686,520.80x = 1,029,166.80 × 265,656.80
  4. Step 4: Simplify right side
    686,520.80x = 273,405,158,754.24
  5. Step 5: Solve for x
    x = 273,405,158,754.24/686,520.80
  6. Step 6: Final answer
    x = 398,247.45

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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.