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Finding the Fourth Proportional to 290,203.60, 435,324.90 and 103,164.88

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Solution

The fourth proportional to 290,203.60, 435,324.90 and 103,164.88 is: 154,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,203.60 : 435,324.90 = 103,164.88 : x
  2. Step 2: Convert to fraction form
    290,203.60/435,324.90 = 103,164.88/x
  3. Step 3: Cross multiply
    290,203.60x = 435,324.90 × 103,164.88
  4. Step 4: Simplify right side
    290,203.60x = 44,910,241,069.51
  5. Step 5: Solve for x
    x = 44,910,241,069.51/290,203.60
  6. Step 6: Final answer
    x = 154,754.25

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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.