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Finding the Fourth Proportional to 513,993.78, 709,385.64 and 296,160.72

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Solution

The fourth proportional to 513,993.78, 709,385.64 and 296,160.72 is: 408,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,993.78 : 709,385.64 = 296,160.72 : x
  2. Step 2: Convert to fraction form
    513,993.78/709,385.64 = 296,160.72/x
  3. Step 3: Cross multiply
    513,993.78x = 709,385.64 × 296,160.72
  4. Step 4: Simplify right side
    513,993.78x = 210,092,161,900.06
  5. Step 5: Solve for x
    x = 210,092,161,900.06/513,993.78
  6. Step 6: Final answer
    x = 408,744.56

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1.5x scale

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.