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Finding the Fourth Proportional to 270,671.48, 405,822.69 and 137,294.55

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Solution

The fourth proportional to 270,671.48, 405,822.69 and 137,294.55 is: 205,848.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,671.48 : 405,822.69 = 137,294.55 : x
  2. Step 2: Convert to fraction form
    270,671.48/405,822.69 = 137,294.55/x
  3. Step 3: Cross multiply
    270,671.48x = 405,822.69 × 137,294.55
  4. Step 4: Simplify right side
    270,671.48x = 55,717,243,603.34
  5. Step 5: Solve for x
    x = 55,717,243,603.34/270,671.48
  6. Step 6: Final answer
    x = 205,848.23

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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.