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Finding the Fourth Proportional to 453,441.40, 680,187.70 and 137,908.60

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Solution

The fourth proportional to 453,441.40, 680,187.70 and 137,908.60 is: 206,870.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,441.40 : 680,187.70 = 137,908.60 : x
  2. Step 2: Convert to fraction form
    453,441.40/680,187.70 = 137,908.60/x
  3. Step 3: Cross multiply
    453,441.40x = 680,187.70 × 137,908.60
  4. Step 4: Simplify right side
    453,441.40x = 93,803,733,444.22
  5. Step 5: Solve for x
    x = 93,803,733,444.22/453,441.40
  6. Step 6: Final answer
    x = 206,870.69

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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.