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Finding the Fourth Proportional to 304,140.78, 456,201.72 and 126,643.32

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Solution

The fourth proportional to 304,140.78, 456,201.72 and 126,643.32 is: 189,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,140.78 : 456,201.72 = 126,643.32 : x
  2. Step 2: Convert to fraction form
    304,140.78/456,201.72 = 126,643.32/x
  3. Step 3: Cross multiply
    304,140.78x = 456,201.72 × 126,643.32
  4. Step 4: Simplify right side
    304,140.78x = 57,774,900,410.51
  5. Step 5: Solve for x
    x = 57,774,900,410.51/304,140.78
  6. Step 6: Final answer
    x = 189,961.05

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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.