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Finding the Fourth Proportional to 652,699.32, 979,107.30 and 203,424

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Solution

The fourth proportional to 652,699.32, 979,107.30 and 203,424 is: 305,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,699.32 : 979,107.30 = 203,424 : x
  2. Step 2: Convert to fraction form
    652,699.32/979,107.30 = 203,424/x
  3. Step 3: Cross multiply
    652,699.32x = 979,107.30 × 203,424
  4. Step 4: Simplify right side
    652,699.32x = 199,173,923,395.20
  5. Step 5: Solve for x
    x = 199,173,923,395.20/652,699.32
  6. Step 6: Final answer
    x = 305,154.18

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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.