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Finding the Fourth Proportional to 512,513.92, 707,312.94 and 286,203.16

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Solution

The fourth proportional to 512,513.92, 707,312.94 and 286,203.16 is: 394,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,513.92 : 707,312.94 = 286,203.16 : x
  2. Step 2: Convert to fraction form
    512,513.92/707,312.94 = 286,203.16/x
  3. Step 3: Cross multiply
    512,513.92x = 707,312.94 × 286,203.16
  4. Step 4: Simplify right side
    512,513.92x = 202,435,198,536.89
  5. Step 5: Solve for x
    x = 202,435,198,536.89/512,513.92
  6. Step 6: Final answer
    x = 394,984.78

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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.