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Finding the Fourth Proportional to 512,516.92, 707,317.08 and 286,206.16

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Solution

The fourth proportional to 512,516.92, 707,317.08 and 286,206.16 is: 394,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,516.92 : 707,317.08 = 286,206.16 : x
  2. Step 2: Convert to fraction form
    512,516.92/707,317.08 = 286,206.16/x
  3. Step 3: Cross multiply
    512,516.92x = 707,317.08 × 286,206.16
  4. Step 4: Simplify right side
    512,516.92x = 202,438,505,369.21
  5. Step 5: Solve for x
    x = 202,438,505,369.21/512,516.92
  6. Step 6: Final answer
    x = 394,988.92

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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.