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Finding the Fourth Proportional to 305,672.94, 458,011.35 and 187,095.42

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Solution

The fourth proportional to 305,672.94, 458,011.35 and 187,095.42 is: 280,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,672.94 : 458,011.35 = 187,095.42 : x
  2. Step 2: Convert to fraction form
    305,672.94/458,011.35 = 187,095.42/x
  3. Step 3: Cross multiply
    305,672.94x = 458,011.35 × 187,095.42
  4. Step 4: Simplify right side
    305,672.94x = 85,691,825,893.02
  5. Step 5: Solve for x
    x = 85,691,825,893.02/305,672.94
  6. Step 6: Final answer
    x = 280,338.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.