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Finding the Fourth Proportional to 513,993.32, 709,385.01 and 296,160.29

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Solution

The fourth proportional to 513,993.32, 709,385.01 and 296,160.29 is: 408,743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,993.32 : 709,385.01 = 296,160.29 : x
  2. Step 2: Convert to fraction form
    513,993.32/709,385.01 = 296,160.29/x
  3. Step 3: Cross multiply
    513,993.32x = 709,385.01 × 296,160.29
  4. Step 4: Simplify right side
    513,993.32x = 210,091,670,700.82
  5. Step 5: Solve for x
    x = 210,091,670,700.82/513,993.32
  6. Step 6: Final answer
    x = 408,743.97

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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.