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Finding the Fourth Proportional to 374,533.28, 561,855.86 and 137,857.96

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Solution

The fourth proportional to 374,533.28, 561,855.86 and 137,857.96 is: 206,807.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,533.28 : 561,855.86 = 137,857.96 : x
  2. Step 2: Convert to fraction form
    374,533.28/561,855.86 = 137,857.96/x
  3. Step 3: Cross multiply
    374,533.28x = 561,855.86 × 137,857.96
  4. Step 4: Simplify right side
    374,533.28x = 77,456,303,203.64
  5. Step 5: Solve for x
    x = 77,456,303,203.64/374,533.28
  6. Step 6: Final answer
    x = 206,807.53

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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.