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Finding the Fourth Proportional to 290,409, 435,629.92 and 103,420.52

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Solution

The fourth proportional to 290,409, 435,629.92 and 103,420.52 is: 155,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,409 : 435,629.92 = 103,420.52 : x
  2. Step 2: Convert to fraction form
    290,409/435,629.92 = 103,420.52/x
  3. Step 3: Cross multiply
    290,409x = 435,629.92 × 103,420.52
  4. Step 4: Simplify right side
    290,409x = 45,053,072,853.96
  5. Step 5: Solve for x
    x = 45,053,072,853.96/290,409
  6. Step 6: Final answer
    x = 155,136.63

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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.