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Finding the Fourth Proportional to 513,438.92, 770,536.77 and 243,567.90

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Solution

The fourth proportional to 513,438.92, 770,536.77 and 243,567.90 is: 365,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,438.92 : 770,536.77 = 243,567.90 : x
  2. Step 2: Convert to fraction form
    513,438.92/770,536.77 = 243,567.90/x
  3. Step 3: Cross multiply
    513,438.92x = 770,536.77 × 243,567.90
  4. Step 4: Simplify right side
    513,438.92x = 187,678,022,941.68
  5. Step 5: Solve for x
    x = 187,678,022,941.68/513,438.92
  6. Step 6: Final answer
    x = 365,531.36

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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.