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Finding the Fourth Proportional to 340,491.54, 510,735.95 and 103,833.54

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Solution

The fourth proportional to 340,491.54, 510,735.95 and 103,833.54 is: 155,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,491.54 : 510,735.95 = 103,833.54 : x
  2. Step 2: Convert to fraction form
    340,491.54/510,735.95 = 103,833.54/x
  3. Step 3: Cross multiply
    340,491.54x = 510,735.95 × 103,833.54
  4. Step 4: Simplify right side
    340,491.54x = 53,031,521,563.97
  5. Step 5: Solve for x
    x = 53,031,521,563.97/340,491.54
  6. Step 6: Final answer
    x = 155,749.89

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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.