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Finding the Fourth Proportional to 378,063.60, 567,206.13 and 111,831.21

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Solution

The fourth proportional to 378,063.60, 567,206.13 and 111,831.21 is: 167,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,063.60 : 567,206.13 = 111,831.21 : x
  2. Step 2: Convert to fraction form
    378,063.60/567,206.13 = 111,831.21/x
  3. Step 3: Cross multiply
    378,063.60x = 567,206.13 × 111,831.21
  4. Step 4: Simplify right side
    378,063.60x = 63,431,347,837.32
  5. Step 5: Solve for x
    x = 63,431,347,837.32/378,063.60
  6. Step 6: Final answer
    x = 167,779.57

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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.