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Finding the Fourth Proportional to 309,897.70, 464,846.55 and 215,419.30

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Solution

The fourth proportional to 309,897.70, 464,846.55 and 215,419.30 is: 323,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,897.70 : 464,846.55 = 215,419.30 : x
  2. Step 2: Convert to fraction form
    309,897.70/464,846.55 = 215,419.30/x
  3. Step 3: Cross multiply
    309,897.70x = 464,846.55 × 215,419.30
  4. Step 4: Simplify right side
    309,897.70x = 100,136,918,408.42
  5. Step 5: Solve for x
    x = 100,136,918,408.42/309,897.70
  6. Step 6: Final answer
    x = 323,128.95

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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.