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Finding the Fourth Proportional to 493,272.78, 680,719.58 and 289,282.11

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Solution

The fourth proportional to 493,272.78, 680,719.58 and 289,282.11 is: 399,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,272.78 : 680,719.58 = 289,282.11 : x
  2. Step 2: Convert to fraction form
    493,272.78/680,719.58 = 289,282.11/x
  3. Step 3: Cross multiply
    493,272.78x = 680,719.58 × 289,282.11
  4. Step 4: Simplify right side
    493,272.78x = 196,919,996,420.71
  5. Step 5: Solve for x
    x = 196,919,996,420.71/493,272.78
  6. Step 6: Final answer
    x = 399,211.16

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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.