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Finding the Fourth Proportional to 228,789.77, 343,278.71 and 100,640.07

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Solution

The fourth proportional to 228,789.77, 343,278.71 and 100,640.07 is: 151,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,789.77 : 343,278.71 = 100,640.07 : x
  2. Step 2: Convert to fraction form
    228,789.77/343,278.71 = 100,640.07/x
  3. Step 3: Cross multiply
    228,789.77x = 343,278.71 × 100,640.07
  4. Step 4: Simplify right side
    228,789.77x = 34,547,592,900.71
  5. Step 5: Solve for x
    x = 34,547,592,900.71/228,789.77
  6. Step 6: Final answer
    x = 151,001.48

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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.