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Finding the Fourth Proportional to 309,464.60, 464,132.10 and 151,806.20

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Solution

The fourth proportional to 309,464.60, 464,132.10 and 151,806.20 is: 227,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,464.60 : 464,132.10 = 151,806.20 : x
  2. Step 2: Convert to fraction form
    309,464.60/464,132.10 = 151,806.20/x
  3. Step 3: Cross multiply
    309,464.60x = 464,132.10 × 151,806.20
  4. Step 4: Simplify right side
    309,464.60x = 70,458,130,399.02
  5. Step 5: Solve for x
    x = 70,458,130,399.02/309,464.60
  6. Step 6: Final answer
    x = 227,677.51

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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.