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Finding the Fourth Proportional to 280,892.40, 421,338.60 and 122,953.20

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Solution

The fourth proportional to 280,892.40, 421,338.60 and 122,953.20 is: 184,429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,892.40 : 421,338.60 = 122,953.20 : x
  2. Step 2: Convert to fraction form
    280,892.40/421,338.60 = 122,953.20/x
  3. Step 3: Cross multiply
    280,892.40x = 421,338.60 × 122,953.20
  4. Step 4: Simplify right side
    280,892.40x = 51,804,929,153.52
  5. Step 5: Solve for x
    x = 51,804,929,153.52/280,892.40
  6. Step 6: Final answer
    x = 184,429.80

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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.