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Finding the Fourth Proportional to 652,272.30, 978,408.45 and 315,474.30

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Solution

The fourth proportional to 652,272.30, 978,408.45 and 315,474.30 is: 473,211.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,272.30 : 978,408.45 = 315,474.30 : x
  2. Step 2: Convert to fraction form
    652,272.30/978,408.45 = 315,474.30/x
  3. Step 3: Cross multiply
    652,272.30x = 978,408.45 × 315,474.30
  4. Step 4: Simplify right side
    652,272.30x = 308,662,720,877.84
  5. Step 5: Solve for x
    x = 308,662,720,877.84/652,272.30
  6. Step 6: Final answer
    x = 473,211.45

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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.