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Finding the Fourth Proportional to 378,200.40, 566,717.40 and 328,045.20

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Solution

The fourth proportional to 378,200.40, 566,717.40 and 328,045.20 is: 491,561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,200.40 : 566,717.40 = 328,045.20 : x
  2. Step 2: Convert to fraction form
    378,200.40/566,717.40 = 328,045.20/x
  3. Step 3: Cross multiply
    378,200.40x = 566,717.40 × 328,045.20
  4. Step 4: Simplify right side
    378,200.40x = 185,908,922,826.48
  5. Step 5: Solve for x
    x = 185,908,922,826.48/378,200.40
  6. Step 6: Final answer
    x = 491,561.94

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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.