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Finding the Fourth Proportional to 406,802, 609,621.56 and 178,824.40

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Solution

The fourth proportional to 406,802, 609,621.56 and 178,824.40 is: 267,981.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,802 : 609,621.56 = 178,824.40 : x
  2. Step 2: Convert to fraction form
    406,802/609,621.56 = 178,824.40/x
  3. Step 3: Cross multiply
    406,802x = 609,621.56 × 178,824.40
  4. Step 4: Simplify right side
    406,802x = 109,015,209,694.06
  5. Step 5: Solve for x
    x = 109,015,209,694.06/406,802
  6. Step 6: Final answer
    x = 267,981.01

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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.