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Finding the Fourth Proportional to 406,696.95, 609,928.79 and 157,320.63

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Solution

The fourth proportional to 406,696.95, 609,928.79 and 157,320.63 is: 235,935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,696.95 : 609,928.79 = 157,320.63 : x
  2. Step 2: Convert to fraction form
    406,696.95/609,928.79 = 157,320.63/x
  3. Step 3: Cross multiply
    406,696.95x = 609,928.79 × 157,320.63
  4. Step 4: Simplify right side
    406,696.95x = 95,954,380,711.33
  5. Step 5: Solve for x
    x = 95,954,380,711.33/406,696.95
  6. Step 6: Final answer
    x = 235,935.83

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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.