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Finding the Fourth Proportional to 304,339.30, 456,261.60 and 126,978.46

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Solution

The fourth proportional to 304,339.30, 456,261.60 and 126,978.46 is: 190,364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,339.30 : 456,261.60 = 126,978.46 : x
  2. Step 2: Convert to fraction form
    304,339.30/456,261.60 = 126,978.46/x
  3. Step 3: Cross multiply
    304,339.30x = 456,261.60 × 126,978.46
  4. Step 4: Simplify right side
    304,339.30x = 57,935,395,325.14
  5. Step 5: Solve for x
    x = 57,935,395,325.14/304,339.30
  6. Step 6: Final answer
    x = 190,364.49

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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.