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Finding the Fourth Proportional to 378,040.16, 567,141.60 and 188,602.40

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Solution

The fourth proportional to 378,040.16, 567,141.60 and 188,602.40 is: 282,944.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,040.16 : 567,141.60 = 188,602.40 : x
  2. Step 2: Convert to fraction form
    378,040.16/567,141.60 = 188,602.40/x
  3. Step 3: Cross multiply
    378,040.16x = 567,141.60 × 188,602.40
  4. Step 4: Simplify right side
    378,040.16x = 106,964,266,899.84
  5. Step 5: Solve for x
    x = 106,964,266,899.84/378,040.16
  6. Step 6: Final answer
    x = 282,944.19

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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.