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Finding the Fourth Proportional to 494,771.96, 742,206.54 and 139,788.74

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Solution

The fourth proportional to 494,771.96, 742,206.54 and 139,788.74 is: 209,696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,771.96 : 742,206.54 = 139,788.74 : x
  2. Step 2: Convert to fraction form
    494,771.96/742,206.54 = 139,788.74/x
  3. Step 3: Cross multiply
    494,771.96x = 742,206.54 × 139,788.74
  4. Step 4: Simplify right side
    494,771.96x = 103,752,117,046.36
  5. Step 5: Solve for x
    x = 103,752,117,046.36/494,771.96
  6. Step 6: Final answer
    x = 209,696.84

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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.