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Finding the Fourth Proportional to 513,655.16, 709,129.16 and 309,757.73

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Solution

The fourth proportional to 513,655.16, 709,129.16 and 309,757.73 is: 427,637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,655.16 : 709,129.16 = 309,757.73 : x
  2. Step 2: Convert to fraction form
    513,655.16/709,129.16 = 309,757.73/x
  3. Step 3: Cross multiply
    513,655.16x = 709,129.16 × 309,757.73
  4. Step 4: Simplify right side
    513,655.16x = 219,658,234,945.56
  5. Step 5: Solve for x
    x = 219,658,234,945.56/513,655.16
  6. Step 6: Final answer
    x = 427,637.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.