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Finding the Fourth Proportional to 304,517.32, 457,298.70 and 186,879.40

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Solution

The fourth proportional to 304,517.32, 457,298.70 and 186,879.40 is: 280,639.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,517.32 : 457,298.70 = 186,879.40 : x
  2. Step 2: Convert to fraction form
    304,517.32/457,298.70 = 186,879.40/x
  3. Step 3: Cross multiply
    304,517.32x = 457,298.70 × 186,879.40
  4. Step 4: Simplify right side
    304,517.32x = 85,459,706,676.78
  5. Step 5: Solve for x
    x = 85,459,706,676.78/304,517.32
  6. Step 6: Final answer
    x = 280,639.89

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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.