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Finding the Fourth Proportional to 378,375.60, 566,785.80 and 191,492.40

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Solution

The fourth proportional to 378,375.60, 566,785.80 and 191,492.40 is: 286,845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,375.60 : 566,785.80 = 191,492.40 : x
  2. Step 2: Convert to fraction form
    378,375.60/566,785.80 = 191,492.40/x
  3. Step 3: Cross multiply
    378,375.60x = 566,785.80 × 191,492.40
  4. Step 4: Simplify right side
    378,375.60x = 108,535,173,127.92
  5. Step 5: Solve for x
    x = 108,535,173,127.92/378,375.60
  6. Step 6: Final answer
    x = 286,845.06

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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.