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Finding the Fourth Proportional to 270,671.42, 405,822.60 and 137,294.50

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Solution

The fourth proportional to 270,671.42, 405,822.60 and 137,294.50 is: 205,848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,671.42 : 405,822.60 = 137,294.50 : x
  2. Step 2: Convert to fraction form
    270,671.42/405,822.60 = 137,294.50/x
  3. Step 3: Cross multiply
    270,671.42x = 405,822.60 × 137,294.50
  4. Step 4: Simplify right side
    270,671.42x = 55,717,210,955.70
  5. Step 5: Solve for x
    x = 55,717,210,955.70/270,671.42
  6. Step 6: Final answer
    x = 205,848.15

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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.