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Finding the Fourth Proportional to 652,648.40, 978,972.60 and 386,271.80

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Solution

The fourth proportional to 652,648.40, 978,972.60 and 386,271.80 is: 579,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,648.40 : 978,972.60 = 386,271.80 : x
  2. Step 2: Convert to fraction form
    652,648.40/978,972.60 = 386,271.80/x
  3. Step 3: Cross multiply
    652,648.40x = 978,972.60 × 386,271.80
  4. Step 4: Simplify right side
    652,648.40x = 378,149,508,352.68
  5. Step 5: Solve for x
    x = 378,149,508,352.68/652,648.40
  6. Step 6: Final answer
    x = 579,407.70

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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.