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Finding the Fourth Proportional to 340,721.86, 470,199.28 and 187,765.54

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Solution

The fourth proportional to 340,721.86, 470,199.28 and 187,765.54 is: 259,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,721.86 : 470,199.28 = 187,765.54 : x
  2. Step 2: Convert to fraction form
    340,721.86/470,199.28 = 187,765.54/x
  3. Step 3: Cross multiply
    340,721.86x = 470,199.28 × 187,765.54
  4. Step 4: Simplify right side
    340,721.86x = 88,287,221,716.81
  5. Step 5: Solve for x
    x = 88,287,221,716.81/340,721.86
  6. Step 6: Final answer
    x = 259,118.16

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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.