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Finding the Fourth Proportional to 427,565.39, 641,393.13 and 174,805.70

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Solution

The fourth proportional to 427,565.39, 641,393.13 and 174,805.70 is: 262,226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,565.39 : 641,393.13 = 174,805.70 : x
  2. Step 2: Convert to fraction form
    427,565.39/641,393.13 = 174,805.70/x
  3. Step 3: Cross multiply
    427,565.39x = 641,393.13 × 174,805.70
  4. Step 4: Simplify right side
    427,565.39x = 112,119,172,513.40
  5. Step 5: Solve for x
    x = 112,119,172,513.40/427,565.39
  6. Step 6: Final answer
    x = 262,226.96

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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.