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Finding the Fourth Proportional to 380,237.82, 570,159.90 and 202,697.16

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Solution

The fourth proportional to 380,237.82, 570,159.90 and 202,697.16 is: 303,940.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,237.82 : 570,159.90 = 202,697.16 : x
  2. Step 2: Convert to fraction form
    380,237.82/570,159.90 = 202,697.16/x
  3. Step 3: Cross multiply
    380,237.82x = 570,159.90 × 202,697.16
  4. Step 4: Simplify right side
    380,237.82x = 115,569,792,475.88
  5. Step 5: Solve for x
    x = 115,569,792,475.88/380,237.82
  6. Step 6: Final answer
    x = 303,940.81

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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.