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Finding the Fourth Proportional to 228,322.48, 342,387.36 and 68,421.10

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Solution

The fourth proportional to 228,322.48, 342,387.36 and 68,421.10 is: 102,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,322.48 : 342,387.36 = 68,421.10 : x
  2. Step 2: Convert to fraction form
    228,322.48/342,387.36 = 68,421.10/x
  3. Step 3: Cross multiply
    228,322.48x = 342,387.36 × 68,421.10
  4. Step 4: Simplify right side
    228,322.48x = 23,426,519,797.30
  5. Step 5: Solve for x
    x = 23,426,519,797.30/228,322.48
  6. Step 6: Final answer
    x = 102,602.77

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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.