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Finding the Fourth Proportional to 512,896, 707,783.52 and 286,543.12

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Solution

The fourth proportional to 512,896, 707,783.52 and 286,543.12 is: 395,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,896 : 707,783.52 = 286,543.12 : x
  2. Step 2: Convert to fraction form
    512,896/707,783.52 = 286,543.12/x
  3. Step 3: Cross multiply
    512,896x = 707,783.52 × 286,543.12
  4. Step 4: Simplify right side
    512,896x = 202,810,498,105.38
  5. Step 5: Solve for x
    x = 202,810,498,105.38/512,896
  6. Step 6: Final answer
    x = 395,422.27

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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.