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Finding the Fourth Proportional to 393,282.96, 542,730.64 and 223,512.72

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Solution

The fourth proportional to 393,282.96, 542,730.64 and 223,512.72 is: 308,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,282.96 : 542,730.64 = 223,512.72 : x
  2. Step 2: Convert to fraction form
    393,282.96/542,730.64 = 223,512.72/x
  3. Step 3: Cross multiply
    393,282.96x = 542,730.64 × 223,512.72
  4. Step 4: Simplify right side
    393,282.96x = 121,307,201,573.74
  5. Step 5: Solve for x
    x = 121,307,201,573.74/393,282.96
  6. Step 6: Final answer
    x = 308,447.64

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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.