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Finding the Fourth Proportional to 652,221.40, 978,502.20 and 252,875.20

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Solution

The fourth proportional to 652,221.40, 978,502.20 and 252,875.20 is: 379,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,221.40 : 978,502.20 = 252,875.20 : x
  2. Step 2: Convert to fraction form
    652,221.40/978,502.20 = 252,875.20/x
  3. Step 3: Cross multiply
    652,221.40x = 978,502.20 × 252,875.20
  4. Step 4: Simplify right side
    652,221.40x = 247,438,939,525.44
  5. Step 5: Solve for x
    x = 247,438,939,525.44/652,221.40
  6. Step 6: Final answer
    x = 379,378.75

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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.