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Finding the Fourth Proportional to 228,838.07, 315,813.17 and 138,216.08

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Solution

The fourth proportional to 228,838.07, 315,813.17 and 138,216.08 is: 190,748.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,838.07 : 315,813.17 = 138,216.08 : x
  2. Step 2: Convert to fraction form
    228,838.07/315,813.17 = 138,216.08/x
  3. Step 3: Cross multiply
    228,838.07x = 315,813.17 × 138,216.08
  4. Step 4: Simplify right side
    228,838.07x = 43,650,459,504.85
  5. Step 5: Solve for x
    x = 43,650,459,504.85/228,838.07
  6. Step 6: Final answer
    x = 190,748.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.