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Finding the Fourth Proportional to 320,967.70, 442,960.17 and 177,740.98

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Solution

The fourth proportional to 320,967.70, 442,960.17 and 177,740.98 is: 245,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,967.70 : 442,960.17 = 177,740.98 : x
  2. Step 2: Convert to fraction form
    320,967.70/442,960.17 = 177,740.98/x
  3. Step 3: Cross multiply
    320,967.70x = 442,960.17 × 177,740.98
  4. Step 4: Simplify right side
    320,967.70x = 78,732,174,716.77
  5. Step 5: Solve for x
    x = 78,732,174,716.77/320,967.70
  6. Step 6: Final answer
    x = 245,296.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.