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Finding the Fourth Proportional to 223,575.70, 308,378.13 and 151,831.06

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Solution

The fourth proportional to 223,575.70, 308,378.13 and 151,831.06 is: 209,420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,575.70 : 308,378.13 = 151,831.06 : x
  2. Step 2: Convert to fraction form
    223,575.70/308,378.13 = 151,831.06/x
  3. Step 3: Cross multiply
    223,575.70x = 308,378.13 × 151,831.06
  4. Step 4: Simplify right side
    223,575.70x = 46,821,378,358.72
  5. Step 5: Solve for x
    x = 46,821,378,358.72/223,575.70
  6. Step 6: Final answer
    x = 209,420.69

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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.