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Finding the Fourth Proportional to 407,870.25, 611,867.43 and 208,081.53

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Solution

The fourth proportional to 407,870.25, 611,867.43 and 208,081.53 is: 312,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,870.25 : 611,867.43 = 208,081.53 : x
  2. Step 2: Convert to fraction form
    407,870.25/611,867.43 = 208,081.53/x
  3. Step 3: Cross multiply
    407,870.25x = 611,867.43 × 208,081.53
  4. Step 4: Simplify right side
    407,870.25x = 127,318,310,991.57
  5. Step 5: Solve for x
    x = 127,318,310,991.57/407,870.25
  6. Step 6: Final answer
    x = 312,153.95

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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.