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Finding the Fourth Proportional to 305,352.42, 458,060.10 and 105,672.51

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Solution

The fourth proportional to 305,352.42, 458,060.10 and 105,672.51 is: 158,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,352.42 : 458,060.10 = 105,672.51 : x
  2. Step 2: Convert to fraction form
    305,352.42/458,060.10 = 105,672.51/x
  3. Step 3: Cross multiply
    305,352.42x = 458,060.10 × 105,672.51
  4. Step 4: Simplify right side
    305,352.42x = 48,404,360,497.85
  5. Step 5: Solve for x
    x = 48,404,360,497.85/305,352.42
  6. Step 6: Final answer
    x = 158,519.66

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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.