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Finding the Fourth Proportional to 652,232.40, 978,348.60 and 278,984.40

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Solution

The fourth proportional to 652,232.40, 978,348.60 and 278,984.40 is: 418,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,232.40 : 978,348.60 = 278,984.40 : x
  2. Step 2: Convert to fraction form
    652,232.40/978,348.60 = 278,984.40/x
  3. Step 3: Cross multiply
    652,232.40x = 978,348.60 × 278,984.40
  4. Step 4: Simplify right side
    652,232.40x = 272,943,997,161.84
  5. Step 5: Solve for x
    x = 272,943,997,161.84/652,232.40
  6. Step 6: Final answer
    x = 418,476.60

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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.