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Finding the Fourth Proportional to 494,757.72, 742,167.36 and 139,798.98

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Solution

The fourth proportional to 494,757.72, 742,167.36 and 139,798.98 is: 209,707.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,757.72 : 742,167.36 = 139,798.98 : x
  2. Step 2: Convert to fraction form
    494,757.72/742,167.36 = 139,798.98/x
  3. Step 3: Cross multiply
    494,757.72x = 742,167.36 × 139,798.98
  4. Step 4: Simplify right side
    494,757.72x = 103,754,239,917.29
  5. Step 5: Solve for x
    x = 103,754,239,917.29/494,757.72
  6. Step 6: Final answer
    x = 209,707.17

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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.