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Finding the Fourth Proportional to 443,719.64, 612,838.20 and 298,272.88

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Solution

The fourth proportional to 443,719.64, 612,838.20 and 298,272.88 is: 411,956.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,719.64 : 612,838.20 = 298,272.88 : x
  2. Step 2: Convert to fraction form
    443,719.64/612,838.20 = 298,272.88/x
  3. Step 3: Cross multiply
    443,719.64x = 612,838.20 × 298,272.88
  4. Step 4: Simplify right side
    443,719.64x = 182,793,014,888.02
  5. Step 5: Solve for x
    x = 182,793,014,888.02/443,719.64
  6. Step 6: Final answer
    x = 411,956.11

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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.