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Finding the Fourth Proportional to 512,807.24, 707,673.96 and 286,452.74

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Solution

The fourth proportional to 512,807.24, 707,673.96 and 286,452.74 is: 395,304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,807.24 : 707,673.96 = 286,452.74 : x
  2. Step 2: Convert to fraction form
    512,807.24/707,673.96 = 286,452.74/x
  3. Step 3: Cross multiply
    512,807.24x = 707,673.96 × 286,452.74
  4. Step 4: Simplify right side
    512,807.24x = 202,715,141,330.28
  5. Step 5: Solve for x
    x = 202,715,141,330.28/512,807.24
  6. Step 6: Final answer
    x = 395,304.76

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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.