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Finding the Fourth Proportional to 652,108.30, 978,162.45 and 540,133.90

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Solution

The fourth proportional to 652,108.30, 978,162.45 and 540,133.90 is: 810,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,108.30 : 978,162.45 = 540,133.90 : x
  2. Step 2: Convert to fraction form
    652,108.30/978,162.45 = 540,133.90/x
  3. Step 3: Cross multiply
    652,108.30x = 978,162.45 × 540,133.90
  4. Step 4: Simplify right side
    652,108.30x = 528,338,698,952.06
  5. Step 5: Solve for x
    x = 528,338,698,952.06/652,108.30
  6. Step 6: Final answer
    x = 810,200.85

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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.