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Finding the Fourth Proportional to 442,105.32, 662,603.39 and 189,088.86

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Solution

The fourth proportional to 442,105.32, 662,603.39 and 189,088.86 is: 283,396.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,105.32 : 662,603.39 = 189,088.86 : x
  2. Step 2: Convert to fraction form
    442,105.32/662,603.39 = 189,088.86/x
  3. Step 3: Cross multiply
    442,105.32x = 662,603.39 × 189,088.86
  4. Step 4: Simplify right side
    442,105.32x = 125,290,921,895.64
  5. Step 5: Solve for x
    x = 125,290,921,895.64/442,105.32
  6. Step 6: Final answer
    x = 283,396.09

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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.