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Finding the Fourth Proportional to 513,437.90, 770,135.40 and 134,350.22

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Solution

The fourth proportional to 513,437.90, 770,135.40 and 134,350.22 is: 201,519.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,437.90 : 770,135.40 = 134,350.22 : x
  2. Step 2: Convert to fraction form
    513,437.90/770,135.40 = 134,350.22/x
  3. Step 3: Cross multiply
    513,437.90x = 770,135.40 × 134,350.22
  4. Step 4: Simplify right side
    513,437.90x = 103,467,860,419.79
  5. Step 5: Solve for x
    x = 103,467,860,419.79/513,437.90
  6. Step 6: Final answer
    x = 201,519.72

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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.