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Finding the Fourth Proportional to 290,046.29, 435,081.23 and 138,165.29

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Solution

The fourth proportional to 290,046.29, 435,081.23 and 138,165.29 is: 207,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,046.29 : 435,081.23 = 138,165.29 : x
  2. Step 2: Convert to fraction form
    290,046.29/435,081.23 = 138,165.29/x
  3. Step 3: Cross multiply
    290,046.29x = 435,081.23 × 138,165.29
  4. Step 4: Simplify right side
    290,046.29x = 60,113,124,316.51
  5. Step 5: Solve for x
    x = 60,113,124,316.51/290,046.29
  6. Step 6: Final answer
    x = 207,253.55

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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.