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Finding the Fourth Proportional to 378,896.30, 568,339.50 and 109,031.48

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Solution

The fourth proportional to 378,896.30, 568,339.50 and 109,031.48 is: 163,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,896.30 : 568,339.50 = 109,031.48 : x
  2. Step 2: Convert to fraction form
    378,896.30/568,339.50 = 109,031.48/x
  3. Step 3: Cross multiply
    378,896.30x = 568,339.50 × 109,031.48
  4. Step 4: Simplify right side
    378,896.30x = 61,966,896,827.46
  5. Step 5: Solve for x
    x = 61,966,896,827.46/378,896.30
  6. Step 6: Final answer
    x = 163,545.80

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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.