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Finding the Fourth Proportional to 513,330.54, 769,354.26 and 247,019.58

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Solution

The fourth proportional to 513,330.54, 769,354.26 and 247,019.58 is: 370,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,330.54 : 769,354.26 = 247,019.58 : x
  2. Step 2: Convert to fraction form
    513,330.54/769,354.26 = 247,019.58/x
  3. Step 3: Cross multiply
    513,330.54x = 769,354.26 × 247,019.58
  4. Step 4: Simplify right side
    513,330.54x = 190,045,566,176.41
  5. Step 5: Solve for x
    x = 190,045,566,176.41/513,330.54
  6. Step 6: Final answer
    x = 370,220.65

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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.