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Finding the Fourth Proportional to 490,302.90, 735,748.11 and 209,820.42

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Solution

The fourth proportional to 490,302.90, 735,748.11 and 209,820.42 is: 314,856.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,302.90 : 735,748.11 = 209,820.42 : x
  2. Step 2: Convert to fraction form
    490,302.90/735,748.11 = 209,820.42/x
  3. Step 3: Cross multiply
    490,302.90x = 735,748.11 × 209,820.42
  4. Step 4: Simplify right side
    490,302.90x = 154,374,977,454.41
  5. Step 5: Solve for x
    x = 154,374,977,454.41/490,302.90
  6. Step 6: Final answer
    x = 314,856.34

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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.