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Finding the Fourth Proportional to 242,808.40, 364,199.60 and 74,328.80

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Solution

The fourth proportional to 242,808.40, 364,199.60 and 74,328.80 is: 111,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,808.40 : 364,199.60 = 74,328.80 : x
  2. Step 2: Convert to fraction form
    242,808.40/364,199.60 = 74,328.80/x
  3. Step 3: Cross multiply
    242,808.40x = 364,199.60 × 74,328.80
  4. Step 4: Simplify right side
    242,808.40x = 27,070,519,228.48
  5. Step 5: Solve for x
    x = 27,070,519,228.48/242,808.40
  6. Step 6: Final answer
    x = 111,489.22

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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.