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Finding the Fourth Proportional to 374,140.80, 561,211.20 and 137,653.20

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Solution

The fourth proportional to 374,140.80, 561,211.20 and 137,653.20 is: 206,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,140.80 : 561,211.20 = 137,653.20 : x
  2. Step 2: Convert to fraction form
    374,140.80/561,211.20 = 137,653.20/x
  3. Step 3: Cross multiply
    374,140.80x = 561,211.20 × 137,653.20
  4. Step 4: Simplify right side
    374,140.80x = 77,252,517,555.84
  5. Step 5: Solve for x
    x = 77,252,517,555.84/374,140.80
  6. Step 6: Final answer
    x = 206,479.80

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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.