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Finding the Fourth Proportional to 300,468.06, 414,646.29 and 173,140.38

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Solution

The fourth proportional to 300,468.06, 414,646.29 and 173,140.38 is: 238,933.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,468.06 : 414,646.29 = 173,140.38 : x
  2. Step 2: Convert to fraction form
    300,468.06/414,646.29 = 173,140.38/x
  3. Step 3: Cross multiply
    300,468.06x = 414,646.29 × 173,140.38
  4. Step 4: Simplify right side
    300,468.06x = 71,792,016,216.19
  5. Step 5: Solve for x
    x = 71,792,016,216.19/300,468.06
  6. Step 6: Final answer
    x = 238,933.94

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1.5x scale

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.