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Finding the Fourth Proportional to 422,026.98, 582,397.16 and 228,434.65

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Solution

The fourth proportional to 422,026.98, 582,397.16 and 228,434.65 is: 315,239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,026.98 : 582,397.16 = 228,434.65 : x
  2. Step 2: Convert to fraction form
    422,026.98/582,397.16 = 228,434.65/x
  3. Step 3: Cross multiply
    422,026.98x = 582,397.16 × 228,434.65
  4. Step 4: Simplify right side
    422,026.98x = 133,039,688,807.43
  5. Step 5: Solve for x
    x = 133,039,688,807.43/422,026.98
  6. Step 6: Final answer
    x = 315,239.77

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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.