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Finding the Fourth Proportional to 334,138.80, 501,208.20 and 123,749.40

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Solution

The fourth proportional to 334,138.80, 501,208.20 and 123,749.40 is: 185,624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,138.80 : 501,208.20 = 123,749.40 : x
  2. Step 2: Convert to fraction form
    334,138.80/501,208.20 = 123,749.40/x
  3. Step 3: Cross multiply
    334,138.80x = 501,208.20 × 123,749.40
  4. Step 4: Simplify right side
    334,138.80x = 62,024,214,025.08
  5. Step 5: Solve for x
    x = 62,024,214,025.08/334,138.80
  6. Step 6: Final answer
    x = 185,624.10

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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.