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Finding the Fourth Proportional to 378,117.40, 566,009.70 and 219,875.80

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Solution

The fourth proportional to 378,117.40, 566,009.70 and 219,875.80 is: 329,135.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,117.40 : 566,009.70 = 219,875.80 : x
  2. Step 2: Convert to fraction form
    378,117.40/566,009.70 = 219,875.80/x
  3. Step 3: Cross multiply
    378,117.40x = 566,009.70 × 219,875.80
  4. Step 4: Simplify right side
    378,117.40x = 124,451,835,595.26
  5. Step 5: Solve for x
    x = 124,451,835,595.26/378,117.40
  6. Step 6: Final answer
    x = 329,135.44

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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.