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Finding the Fourth Proportional to 494,771.34, 742,205.60 and 139,788.12

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Solution

The fourth proportional to 494,771.34, 742,205.60 and 139,788.12 is: 209,695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,771.34 : 742,205.60 = 139,788.12 : x
  2. Step 2: Convert to fraction form
    494,771.34/742,205.60 = 139,788.12/x
  3. Step 3: Cross multiply
    494,771.34x = 742,205.60 × 139,788.12
  4. Step 4: Simplify right side
    494,771.34x = 103,751,525,477.47
  5. Step 5: Solve for x
    x = 103,751,525,477.47/494,771.34
  6. Step 6: Final answer
    x = 209,695.91

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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.