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Finding the Fourth Proportional to 512,879.40, 707,686.02 and 286,511.40

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Solution

The fourth proportional to 512,879.40, 707,686.02 and 286,511.40 is: 395,336.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,879.40 : 707,686.02 = 286,511.40 : x
  2. Step 2: Convert to fraction form
    512,879.40/707,686.02 = 286,511.40/x
  3. Step 3: Cross multiply
    512,879.40x = 707,686.02 × 286,511.40
  4. Step 4: Simplify right side
    512,879.40x = 202,760,112,350.63
  5. Step 5: Solve for x
    x = 202,760,112,350.63/512,879.40
  6. Step 6: Final answer
    x = 395,336.82

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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.