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Finding the Fourth Proportional to 494,884.86, 742,179.20 and 258,098.38

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Solution

The fourth proportional to 494,884.86, 742,179.20 and 258,098.38 is: 387,070.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,884.86 : 742,179.20 = 258,098.38 : x
  2. Step 2: Convert to fraction form
    494,884.86/742,179.20 = 258,098.38/x
  3. Step 3: Cross multiply
    494,884.86x = 742,179.20 × 258,098.38
  4. Step 4: Simplify right side
    494,884.86x = 191,555,249,189.70
  5. Step 5: Solve for x
    x = 191,555,249,189.70/494,884.86
  6. Step 6: Final answer
    x = 387,070.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.