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Finding the Fourth Proportional to 360,874.24, 540,232.88 and 218,288.00

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Solution

The fourth proportional to 360,874.24, 540,232.88 and 218,288.00 is: 326,779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,874.24 : 540,232.88 = 218,288.00 : x
  2. Step 2: Convert to fraction form
    360,874.24/540,232.88 = 218,288.00/x
  3. Step 3: Cross multiply
    360,874.24x = 540,232.88 × 218,288.00
  4. Step 4: Simplify right side
    360,874.24x = 117,926,355,168.58
  5. Step 5: Solve for x
    x = 117,926,355,168.58/360,874.24
  6. Step 6: Final answer
    x = 326,779.64

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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.