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Finding the Fourth Proportional to 309,720.60, 464,267.10 and 209,890.80

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Solution

The fourth proportional to 309,720.60, 464,267.10 and 209,890.80 is: 314,623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,720.60 : 464,267.10 = 209,890.80 : x
  2. Step 2: Convert to fraction form
    309,720.60/464,267.10 = 209,890.80/x
  3. Step 3: Cross multiply
    309,720.60x = 464,267.10 × 209,890.80
  4. Step 4: Simplify right side
    309,720.60x = 97,445,393,032.68
  5. Step 5: Solve for x
    x = 97,445,393,032.68/309,720.60
  6. Step 6: Final answer
    x = 314,623.54

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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.