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Finding the Fourth Proportional to 652,128.40, 978,362.70 and 252,782.20

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Solution

The fourth proportional to 652,128.40, 978,362.70 and 252,782.20 is: 379,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,128.40 : 978,362.70 = 252,782.20 : x
  2. Step 2: Convert to fraction form
    652,128.40/978,362.70 = 252,782.20/x
  3. Step 3: Cross multiply
    652,128.40x = 978,362.70 × 252,782.20
  4. Step 4: Simplify right side
    652,128.40x = 247,312,675,703.94
  5. Step 5: Solve for x
    x = 247,312,675,703.94/652,128.40
  6. Step 6: Final answer
    x = 379,239.24

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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.