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Finding the Fourth Proportional to 289,989.54, 434,967 and 90,281.82

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Solution

The fourth proportional to 289,989.54, 434,967 and 90,281.82 is: 135,417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,989.54 : 434,967 = 90,281.82 : x
  2. Step 2: Convert to fraction form
    289,989.54/434,967 = 90,281.82/x
  3. Step 3: Cross multiply
    289,989.54x = 434,967 × 90,281.82
  4. Step 4: Simplify right side
    289,989.54x = 39,269,612,399.94
  5. Step 5: Solve for x
    x = 39,269,612,399.94/289,989.54
  6. Step 6: Final answer
    x = 135,417.34

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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.