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Finding the Fourth Proportional to 415,041.48, 621,667.98 and 281,187.36

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Solution

The fourth proportional to 415,041.48, 621,667.98 and 281,187.36 is: 421,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,041.48 : 621,667.98 = 281,187.36 : x
  2. Step 2: Convert to fraction form
    415,041.48/621,667.98 = 281,187.36/x
  3. Step 3: Cross multiply
    415,041.48x = 621,667.98 × 281,187.36
  4. Step 4: Simplify right side
    415,041.48x = 174,805,178,092.73
  5. Step 5: Solve for x
    x = 174,805,178,092.73/415,041.48
  6. Step 6: Final answer
    x = 421,175.20

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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.