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Finding the Fourth Proportional to 314,772.47, 471,815.08 and 154,958.39

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Solution

The fourth proportional to 314,772.47, 471,815.08 and 154,958.39 is: 232,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,772.47 : 471,815.08 = 154,958.39 : x
  2. Step 2: Convert to fraction form
    314,772.47/471,815.08 = 154,958.39/x
  3. Step 3: Cross multiply
    314,772.47x = 471,815.08 × 154,958.39
  4. Step 4: Simplify right side
    314,772.47x = 73,111,702,428.05
  5. Step 5: Solve for x
    x = 73,111,702,428.05/314,772.47
  6. Step 6: Final answer
    x = 232,268.42

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1.5x scale

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.