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Finding the Fourth Proportional to 374,491.20, 561,736.80 and 137,784.90

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Solution

The fourth proportional to 374,491.20, 561,736.80 and 137,784.90 is: 206,677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,491.20 : 561,736.80 = 137,784.90 : x
  2. Step 2: Convert to fraction form
    374,491.20/561,736.80 = 137,784.90/x
  3. Step 3: Cross multiply
    374,491.20x = 561,736.80 × 137,784.90
  4. Step 4: Simplify right side
    374,491.20x = 77,398,848,814.32
  5. Step 5: Solve for x
    x = 77,398,848,814.32/374,491.20
  6. Step 6: Final answer
    x = 206,677.35

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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.