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Finding the Fourth Proportional to 407,960.18, 611,559.80 and 137,900.41

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Solution

The fourth proportional to 407,960.18, 611,559.80 and 137,900.41 is: 206,722.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,960.18 : 611,559.80 = 137,900.41 : x
  2. Step 2: Convert to fraction form
    407,960.18/611,559.80 = 137,900.41/x
  3. Step 3: Cross multiply
    407,960.18x = 611,559.80 × 137,900.41
  4. Step 4: Simplify right side
    407,960.18x = 84,334,347,159.52
  5. Step 5: Solve for x
    x = 84,334,347,159.52/407,960.18
  6. Step 6: Final answer
    x = 206,722.01

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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.