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Finding the Fourth Proportional to 228,474.12, 315,329.11 and 142,447.06

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Solution

The fourth proportional to 228,474.12, 315,329.11 and 142,447.06 is: 196,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,474.12 : 315,329.11 = 142,447.06 : x
  2. Step 2: Convert to fraction form
    228,474.12/315,329.11 = 142,447.06/x
  3. Step 3: Cross multiply
    228,474.12x = 315,329.11 × 142,447.06
  4. Step 4: Simplify right side
    228,474.12x = 44,917,703,507.48
  5. Step 5: Solve for x
    x = 44,917,703,507.48/228,474.12
  6. Step 6: Final answer
    x = 196,598.65

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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.