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Finding the Fourth Proportional to 242,210.40, 363,315.60 and 189,664.80

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Solution

The fourth proportional to 242,210.40, 363,315.60 and 189,664.80 is: 284,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,210.40 : 363,315.60 = 189,664.80 : x
  2. Step 2: Convert to fraction form
    242,210.40/363,315.60 = 189,664.80/x
  3. Step 3: Cross multiply
    242,210.40x = 363,315.60 × 189,664.80
  4. Step 4: Simplify right side
    242,210.40x = 68,908,180,610.88
  5. Step 5: Solve for x
    x = 68,908,180,610.88/242,210.40
  6. Step 6: Final answer
    x = 284,497.20

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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.