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Finding the Fourth Proportional to 494,726.48, 742,120.88 and 139,767.84

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Solution

The fourth proportional to 494,726.48, 742,120.88 and 139,767.84 is: 209,660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,726.48 : 742,120.88 = 139,767.84 : x
  2. Step 2: Convert to fraction form
    494,726.48/742,120.88 = 139,767.84/x
  3. Step 3: Cross multiply
    494,726.48x = 742,120.88 × 139,767.84
  4. Step 4: Simplify right side
    494,726.48x = 103,724,632,416.50
  5. Step 5: Solve for x
    x = 103,724,632,416.50/494,726.48
  6. Step 6: Final answer
    x = 209,660.56

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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.