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Finding the Fourth Proportional to 228,411.55, 315,208.66 and 123,635.47

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Solution

The fourth proportional to 228,411.55, 315,208.66 and 123,635.47 is: 170,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,411.55 : 315,208.66 = 123,635.47 : x
  2. Step 2: Convert to fraction form
    228,411.55/315,208.66 = 123,635.47/x
  3. Step 3: Cross multiply
    228,411.55x = 315,208.66 × 123,635.47
  4. Step 4: Simplify right side
    228,411.55x = 38,970,970,827.17
  5. Step 5: Solve for x
    x = 38,970,970,827.17/228,411.55
  6. Step 6: Final answer
    x = 170,617.34

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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.