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Finding the Fourth Proportional to 320,470.80, 442,231.69 and 175,247.76

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Solution

The fourth proportional to 320,470.80, 442,231.69 and 175,247.76 is: 241,832.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,470.80 : 442,231.69 = 175,247.76 : x
  2. Step 2: Convert to fraction form
    320,470.80/442,231.69 = 175,247.76/x
  3. Step 3: Cross multiply
    320,470.80x = 442,231.69 × 175,247.76
  4. Step 4: Simplify right side
    320,470.80x = 77,500,113,073.51
  5. Step 5: Solve for x
    x = 77,500,113,073.51/320,470.80
  6. Step 6: Final answer
    x = 241,832.06

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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.