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Finding the Fourth Proportional to 300,143.40, 450,048.86 and 122,774.96

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Solution

The fourth proportional to 300,143.40, 450,048.86 and 122,774.96 is: 184,094.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,143.40 : 450,048.86 = 122,774.96 : x
  2. Step 2: Convert to fraction form
    300,143.40/450,048.86 = 122,774.96/x
  3. Step 3: Cross multiply
    300,143.40x = 450,048.86 × 122,774.96
  4. Step 4: Simplify right side
    300,143.40x = 55,254,730,784.55
  5. Step 5: Solve for x
    x = 55,254,730,784.55/300,143.40
  6. Step 6: Final answer
    x = 184,094.44

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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.