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Finding the Fourth Proportional to 228,224.40, 342,628.20 and 121,693.20

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Solution

The fourth proportional to 228,224.40, 342,628.20 and 121,693.20 is: 182,695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,224.40 : 342,628.20 = 121,693.20 : x
  2. Step 2: Convert to fraction form
    228,224.40/342,628.20 = 121,693.20/x
  3. Step 3: Cross multiply
    228,224.40x = 342,628.20 × 121,693.20
  4. Step 4: Simplify right side
    228,224.40x = 41,695,522,068.24
  5. Step 5: Solve for x
    x = 41,695,522,068.24/228,224.40
  6. Step 6: Final answer
    x = 182,695.29

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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.