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Finding the Fourth Proportional to 342,961.40, 473,129.16 and 222,143

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Solution

The fourth proportional to 342,961.40, 473,129.16 and 222,143 is: 306,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,961.40 : 473,129.16 = 222,143 : x
  2. Step 2: Convert to fraction form
    342,961.40/473,129.16 = 222,143/x
  3. Step 3: Cross multiply
    342,961.40x = 473,129.16 × 222,143
  4. Step 4: Simplify right side
    342,961.40x = 105,102,330,989.88
  5. Step 5: Solve for x
    x = 105,102,330,989.88/342,961.40
  6. Step 6: Final answer
    x = 306,455.28

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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.