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Finding the Fourth Proportional to 407,884.02, 612,199.56 and 208,344.30

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Solution

The fourth proportional to 407,884.02, 612,199.56 and 208,344.30 is: 312,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,884.02 : 612,199.56 = 208,344.30 : x
  2. Step 2: Convert to fraction form
    407,884.02/612,199.56 = 208,344.30/x
  3. Step 3: Cross multiply
    407,884.02x = 612,199.56 × 208,344.30
  4. Step 4: Simplify right side
    407,884.02x = 127,548,288,788.51
  5. Step 5: Solve for x
    x = 127,548,288,788.51/407,884.02
  6. Step 6: Final answer
    x = 312,707.25

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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.