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Finding the Fourth Proportional to 290,394.64, 435,608.34 and 103,406.14

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Solution

The fourth proportional to 290,394.64, 435,608.34 and 103,406.14 is: 155,115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,394.64 : 435,608.34 = 103,406.14 : x
  2. Step 2: Convert to fraction form
    290,394.64/435,608.34 = 103,406.14/x
  3. Step 3: Cross multiply
    290,394.64x = 435,608.34 × 103,406.14
  4. Step 4: Simplify right side
    290,394.64x = 45,044,576,991.21
  5. Step 5: Solve for x
    x = 45,044,576,991.21/290,394.64
  6. Step 6: Final answer
    x = 155,115.04

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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.