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Finding the Fourth Proportional to 287,287.08, 430,786.38 and 167,382.84

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Solution

The fourth proportional to 287,287.08, 430,786.38 and 167,382.84 is: 250,990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,287.08 : 430,786.38 = 167,382.84 : x
  2. Step 2: Convert to fraction form
    287,287.08/430,786.38 = 167,382.84/x
  3. Step 3: Cross multiply
    287,287.08x = 430,786.38 × 167,382.84
  4. Step 4: Simplify right side
    287,287.08x = 72,106,247,717.72
  5. Step 5: Solve for x
    x = 72,106,247,717.72/287,287.08
  6. Step 6: Final answer
    x = 250,990.22

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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.