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Finding the Fourth Proportional to 289,801.35, 434,652.21 and 76,571.55

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Solution

The fourth proportional to 289,801.35, 434,652.21 and 76,571.55 is: 114,844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,801.35 : 434,652.21 = 76,571.55 : x
  2. Step 2: Convert to fraction form
    289,801.35/434,652.21 = 76,571.55/x
  3. Step 3: Cross multiply
    289,801.35x = 434,652.21 × 76,571.55
  4. Step 4: Simplify right side
    289,801.35x = 33,281,993,430.63
  5. Step 5: Solve for x
    x = 33,281,993,430.63/289,801.35
  6. Step 6: Final answer
    x = 114,844.16

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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.