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Finding the Fourth Proportional to 345,544.80, 476,688.80 and 202,216.16

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Solution

The fourth proportional to 345,544.80, 476,688.80 and 202,216.16 is: 278,962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,544.80 : 476,688.80 = 202,216.16 : x
  2. Step 2: Convert to fraction form
    345,544.80/476,688.80 = 202,216.16/x
  3. Step 3: Cross multiply
    345,544.80x = 476,688.80 × 202,216.16
  4. Step 4: Simplify right side
    345,544.80x = 96,394,178,651.01
  5. Step 5: Solve for x
    x = 96,394,178,651.01/345,544.80
  6. Step 6: Final answer
    x = 278,962.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.