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Finding the Fourth Proportional to 494,663.31, 742,023.66 and 139,647.60

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Solution

The fourth proportional to 494,663.31, 742,023.66 and 139,647.60 is: 209,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,663.31 : 742,023.66 = 139,647.60 : x
  2. Step 2: Convert to fraction form
    494,663.31/742,023.66 = 139,647.60/x
  3. Step 3: Cross multiply
    494,663.31x = 742,023.66 × 139,647.60
  4. Step 4: Simplify right side
    494,663.31x = 103,621,819,552.10
  5. Step 5: Solve for x
    x = 103,621,819,552.10/494,663.31
  6. Step 6: Final answer
    x = 209,479.50

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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.