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Finding the Fourth Proportional to 290,459.29, 435,689.27 and 90,780.72

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Solution

The fourth proportional to 290,459.29, 435,689.27 and 90,780.72 is: 136,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,459.29 : 435,689.27 = 90,780.72 : x
  2. Step 2: Convert to fraction form
    290,459.29/435,689.27 = 90,780.72/x
  3. Step 3: Cross multiply
    290,459.29x = 435,689.27 × 90,780.72
  4. Step 4: Simplify right side
    290,459.29x = 39,552,185,626.87
  5. Step 5: Solve for x
    x = 39,552,185,626.87/290,459.29
  6. Step 6: Final answer
    x = 136,171.19

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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.