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Finding the Fourth Proportional to 652,145.80, 978,218.70 and 547,169.80

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Solution

The fourth proportional to 652,145.80, 978,218.70 and 547,169.80 is: 820,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,145.80 : 978,218.70 = 547,169.80 : x
  2. Step 2: Convert to fraction form
    652,145.80/978,218.70 = 547,169.80/x
  3. Step 3: Cross multiply
    652,145.80x = 978,218.70 × 547,169.80
  4. Step 4: Simplify right side
    652,145.80x = 535,251,730,435.26
  5. Step 5: Solve for x
    x = 535,251,730,435.26/652,145.80
  6. Step 6: Final answer
    x = 820,754.70

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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.