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Finding the Fourth Proportional to 513,980.26, 770,127.67 and 363,951.21

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Solution

The fourth proportional to 513,980.26, 770,127.67 and 363,951.21 is: 545,330.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,980.26 : 770,127.67 = 363,951.21 : x
  2. Step 2: Convert to fraction form
    513,980.26/770,127.67 = 363,951.21/x
  3. Step 3: Cross multiply
    513,980.26x = 770,127.67 × 363,951.21
  4. Step 4: Simplify right side
    513,980.26x = 280,288,896,441.10
  5. Step 5: Solve for x
    x = 280,288,896,441.10/513,980.26
  6. Step 6: Final answer
    x = 545,330.08

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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.