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Finding the Fourth Proportional to 512,399.46, 707,111.16 and 286,044.96

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Solution

The fourth proportional to 512,399.46, 707,111.16 and 286,044.96 is: 394,741.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,399.46 : 707,111.16 = 286,044.96 : x
  2. Step 2: Convert to fraction form
    512,399.46/707,111.16 = 286,044.96/x
  3. Step 3: Cross multiply
    512,399.46x = 707,111.16 × 286,044.96
  4. Step 4: Simplify right side
    512,399.46x = 202,265,583,477.75
  5. Step 5: Solve for x
    x = 202,265,583,477.75/512,399.46
  6. Step 6: Final answer
    x = 394,741.99

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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.