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Finding the Fourth Proportional to 228,592.94, 315,612.38 and 142,682.78

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Solution

The fourth proportional to 228,592.94, 315,612.38 and 142,682.78 is: 196,998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,592.94 : 315,612.38 = 142,682.78 : x
  2. Step 2: Convert to fraction form
    228,592.94/315,612.38 = 142,682.78/x
  3. Step 3: Cross multiply
    228,592.94x = 315,612.38 × 142,682.78
  4. Step 4: Simplify right side
    228,592.94x = 45,032,452,926.55
  5. Step 5: Solve for x
    x = 45,032,452,926.55/228,592.94
  6. Step 6: Final answer
    x = 196,998.45

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1.5x scale

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.