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Finding the Fourth Proportional to 309,713.60, 464,256.60 and 209,883.80

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Solution

The fourth proportional to 309,713.60, 464,256.60 and 209,883.80 is: 314,613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,713.60 : 464,256.60 = 209,883.80 : x
  2. Step 2: Convert to fraction form
    309,713.60/464,256.60 = 209,883.80/x
  3. Step 3: Cross multiply
    309,713.60x = 464,256.60 × 209,883.80
  4. Step 4: Simplify right side
    309,713.60x = 97,439,939,383.08
  5. Step 5: Solve for x
    x = 97,439,939,383.08/309,713.60
  6. Step 6: Final answer
    x = 314,613.05

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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.