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Finding the Fourth Proportional to 289,911.79, 434,908.68 and 90,252.33

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Solution

The fourth proportional to 289,911.79, 434,908.68 and 90,252.33 is: 135,391.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,911.79 : 434,908.68 = 90,252.33 : x
  2. Step 2: Convert to fraction form
    289,911.79/434,908.68 = 90,252.33/x
  3. Step 3: Cross multiply
    289,911.79x = 434,908.68 × 90,252.33
  4. Step 4: Simplify right side
    289,911.79x = 39,251,521,707.22
  5. Step 5: Solve for x
    x = 39,251,521,707.22/289,911.79
  6. Step 6: Final answer
    x = 135,391.26

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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.