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Finding the Fourth Proportional to 321,820.90, 482,399.15 and 209,720.14

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Solution

The fourth proportional to 321,820.90, 482,399.15 and 209,720.14 is: 314,363.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,820.90 : 482,399.15 = 209,720.14 : x
  2. Step 2: Convert to fraction form
    321,820.90/482,399.15 = 209,720.14/x
  3. Step 3: Cross multiply
    321,820.90x = 482,399.15 × 209,720.14
  4. Step 4: Simplify right side
    321,820.90x = 101,168,815,019.28
  5. Step 5: Solve for x
    x = 101,168,815,019.28/321,820.90
  6. Step 6: Final answer
    x = 314,363.72

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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.