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Finding the Fourth Proportional to 305,071.64, 457,578.30 and 186,682.04

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Solution

The fourth proportional to 305,071.64, 457,578.30 and 186,682.04 is: 280,005.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,071.64 : 457,578.30 = 186,682.04 : x
  2. Step 2: Convert to fraction form
    305,071.64/457,578.30 = 186,682.04/x
  3. Step 3: Cross multiply
    305,071.64x = 457,578.30 × 186,682.04
  4. Step 4: Simplify right side
    305,071.64x = 85,421,650,503.73
  5. Step 5: Solve for x
    x = 85,421,650,503.73/305,071.64
  6. Step 6: Final answer
    x = 280,005.22

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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.