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Finding the Fourth Proportional to 305,729.90, 458,095.49 and 185,823.53

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Solution

The fourth proportional to 305,729.90, 458,095.49 and 185,823.53 is: 278,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,729.90 : 458,095.49 = 185,823.53 : x
  2. Step 2: Convert to fraction form
    305,729.90/458,095.49 = 185,823.53/x
  3. Step 3: Cross multiply
    305,729.90x = 458,095.49 × 185,823.53
  4. Step 4: Simplify right side
    305,729.90x = 85,124,920,223.98
  5. Step 5: Solve for x
    x = 85,124,920,223.98/305,729.90
  6. Step 6: Final answer
    x = 278,431.78

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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.