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Finding the Fourth Proportional to 290,088.25, 435,026.06 and 100,499.65

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Solution

The fourth proportional to 290,088.25, 435,026.06 and 100,499.65 is: 150,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,088.25 : 435,026.06 = 100,499.65 : x
  2. Step 2: Convert to fraction form
    290,088.25/435,026.06 = 100,499.65/x
  3. Step 3: Cross multiply
    290,088.25x = 435,026.06 × 100,499.65
  4. Step 4: Simplify right side
    290,088.25x = 43,719,964,093.25
  5. Step 5: Solve for x
    x = 43,719,964,093.25/290,088.25
  6. Step 6: Final answer
    x = 150,712.64

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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.