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Finding the Fourth Proportional to 472,705.82, 708,950.73 and 135,743.81

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Solution

The fourth proportional to 472,705.82, 708,950.73 and 135,743.81 is: 203,584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,705.82 : 708,950.73 = 135,743.81 : x
  2. Step 2: Convert to fraction form
    472,705.82/708,950.73 = 135,743.81/x
  3. Step 3: Cross multiply
    472,705.82x = 708,950.73 × 135,743.81
  4. Step 4: Simplify right side
    472,705.82x = 96,235,673,192.48
  5. Step 5: Solve for x
    x = 96,235,673,192.48/472,705.82
  6. Step 6: Final answer
    x = 203,584.70

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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.