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Finding the Fourth Proportional to 289,258.70, 433,848.05 and 89,716.30

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Solution

The fourth proportional to 289,258.70, 433,848.05 and 89,716.30 is: 134,562.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,258.70 : 433,848.05 = 89,716.30 : x
  2. Step 2: Convert to fraction form
    289,258.70/433,848.05 = 89,716.30/x
  3. Step 3: Cross multiply
    289,258.70x = 433,848.05 × 89,716.30
  4. Step 4: Simplify right side
    289,258.70x = 38,923,241,808.22
  5. Step 5: Solve for x
    x = 38,923,241,808.22/289,258.70
  6. Step 6: Final answer
    x = 134,562.04

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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.