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Finding the Fourth Proportional to 287,850.16, 431,396.16 and 161,488

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Solution

The fourth proportional to 287,850.16, 431,396.16 and 161,488 is: 242,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,850.16 : 431,396.16 = 161,488 : x
  2. Step 2: Convert to fraction form
    287,850.16/431,396.16 = 161,488/x
  3. Step 3: Cross multiply
    287,850.16x = 431,396.16 × 161,488
  4. Step 4: Simplify right side
    287,850.16x = 69,665,303,086.08
  5. Step 5: Solve for x
    x = 69,665,303,086.08/287,850.16
  6. Step 6: Final answer
    x = 242,019.33

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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.