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Finding the Fourth Proportional to 295,040.70, 442,705.05 and 137,187.90

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Solution

The fourth proportional to 295,040.70, 442,705.05 and 137,187.90 is: 205,848.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,040.70 : 442,705.05 = 137,187.90 : x
  2. Step 2: Convert to fraction form
    295,040.70/442,705.05 = 137,187.90/x
  3. Step 3: Cross multiply
    295,040.70x = 442,705.05 × 137,187.90
  4. Step 4: Simplify right side
    295,040.70x = 60,733,776,128.90
  5. Step 5: Solve for x
    x = 60,733,776,128.90/295,040.70
  6. Step 6: Final answer
    x = 205,848.81

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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.