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Finding the Fourth Proportional to 513,981.37, 770,129.37 and 363,952.34

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Solution

The fourth proportional to 513,981.37, 770,129.37 and 363,952.34 is: 545,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,981.37 : 770,129.37 = 363,952.34 : x
  2. Step 2: Convert to fraction form
    513,981.37/770,129.37 = 363,952.34/x
  3. Step 3: Cross multiply
    513,981.37x = 770,129.37 × 363,952.34
  4. Step 4: Simplify right side
    513,981.37x = 280,290,382,463.58
  5. Step 5: Solve for x
    x = 280,290,382,463.58/513,981.37
  6. Step 6: Final answer
    x = 545,331.80

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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.