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Finding the Fourth Proportional to 312,775.11, 431,878.10 and 288,893.07

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Solution

The fourth proportional to 312,775.11, 431,878.10 and 288,893.07 is: 398,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,775.11 : 431,878.10 = 288,893.07 : x
  2. Step 2: Convert to fraction form
    312,775.11/431,878.10 = 288,893.07/x
  3. Step 3: Cross multiply
    312,775.11x = 431,878.10 × 288,893.07
  4. Step 4: Simplify right side
    312,775.11x = 124,766,588,730.30
  5. Step 5: Solve for x
    x = 124,766,588,730.30/312,775.11
  6. Step 6: Final answer
    x = 398,901.91

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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.