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Finding the Fourth Proportional to 219,280.47, 302,600.93 and 123,796.05

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Solution

The fourth proportional to 219,280.47, 302,600.93 and 123,796.05 is: 170,835.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,280.47 : 302,600.93 = 123,796.05 : x
  2. Step 2: Convert to fraction form
    219,280.47/302,600.93 = 123,796.05/x
  3. Step 3: Cross multiply
    219,280.47x = 302,600.93 × 123,796.05
  4. Step 4: Simplify right side
    219,280.47x = 37,460,799,241.35
  5. Step 5: Solve for x
    x = 37,460,799,241.35/219,280.47
  6. Step 6: Final answer
    x = 170,835.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.