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Finding the Fourth Proportional to 494,668.80, 742,031.92 and 139,653.10

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Solution

The fourth proportional to 494,668.80, 742,031.92 and 139,653.10 is: 209,487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,668.80 : 742,031.92 = 139,653.10 : x
  2. Step 2: Convert to fraction form
    494,668.80/742,031.92 = 139,653.10/x
  3. Step 3: Cross multiply
    494,668.80x = 742,031.92 × 139,653.10
  4. Step 4: Simplify right side
    494,668.80x = 103,627,057,926.95
  5. Step 5: Solve for x
    x = 103,627,057,926.95/494,668.80
  6. Step 6: Final answer
    x = 209,487.76

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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.