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Finding the Fourth Proportional to 228,616.17, 315,644.34 and 142,705.95

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Solution

The fourth proportional to 228,616.17, 315,644.34 and 142,705.95 is: 197,030.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,616.17 : 315,644.34 = 142,705.95 : x
  2. Step 2: Convert to fraction form
    228,616.17/315,644.34 = 142,705.95/x
  3. Step 3: Cross multiply
    228,616.17x = 315,644.34 × 142,705.95
  4. Step 4: Simplify right side
    228,616.17x = 45,044,325,401.82
  5. Step 5: Solve for x
    x = 45,044,325,401.82/228,616.17
  6. Step 6: Final answer
    x = 197,030.36

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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.