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Finding the Fourth Proportional to 535,409.28, 802,979.52 and 219,953.28

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Solution

The fourth proportional to 535,409.28, 802,979.52 and 219,953.28 is: 329,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,409.28 : 802,979.52 = 219,953.28 : x
  2. Step 2: Convert to fraction form
    535,409.28/802,979.52 = 219,953.28/x
  3. Step 3: Cross multiply
    535,409.28x = 802,979.52 × 219,953.28
  4. Step 4: Simplify right side
    535,409.28x = 176,617,979,196.83
  5. Step 5: Solve for x
    x = 176,617,979,196.83/535,409.28
  6. Step 6: Final answer
    x = 329,874.71

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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.