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Finding the Fourth Proportional to 513,301.20, 769,433.40 and 233,019.60

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Solution

The fourth proportional to 513,301.20, 769,433.40 and 233,019.60 is: 349,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,301.20 : 769,433.40 = 233,019.60 : x
  2. Step 2: Convert to fraction form
    513,301.20/769,433.40 = 233,019.60/x
  3. Step 3: Cross multiply
    513,301.20x = 769,433.40 × 233,019.60
  4. Step 4: Simplify right side
    513,301.20x = 179,293,063,094.64
  5. Step 5: Solve for x
    x = 179,293,063,094.64/513,301.20
  6. Step 6: Final answer
    x = 349,294.07

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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.