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Finding the Fourth Proportional to 475,874.69, 656,854.10 and 306,108.81

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Solution

The fourth proportional to 475,874.69, 656,854.10 and 306,108.81 is: 422,524.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,874.69 : 656,854.10 = 306,108.81 : x
  2. Step 2: Convert to fraction form
    475,874.69/656,854.10 = 306,108.81/x
  3. Step 3: Cross multiply
    475,874.69x = 656,854.10 × 306,108.81
  4. Step 4: Simplify right side
    475,874.69x = 201,068,825,364.08
  5. Step 5: Solve for x
    x = 201,068,825,364.08/475,874.69
  6. Step 6: Final answer
    x = 422,524.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.