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Finding the Fourth Proportional to 402,856.36, 555,945.48 and 219,096.64

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Solution

The fourth proportional to 402,856.36, 555,945.48 and 219,096.64 is: 302,355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,856.36 : 555,945.48 = 219,096.64 : x
  2. Step 2: Convert to fraction form
    402,856.36/555,945.48 = 219,096.64/x
  3. Step 3: Cross multiply
    402,856.36x = 555,945.48 × 219,096.64
  4. Step 4: Simplify right side
    402,856.36x = 121,805,786,691.19
  5. Step 5: Solve for x
    x = 121,805,786,691.19/402,856.36
  6. Step 6: Final answer
    x = 302,355.38

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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.