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Finding the Fourth Proportional to 289,211.60, 433,817.40 and 147,056.60

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Solution

The fourth proportional to 289,211.60, 433,817.40 and 147,056.60 is: 220,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,211.60 : 433,817.40 = 147,056.60 : x
  2. Step 2: Convert to fraction form
    289,211.60/433,817.40 = 147,056.60/x
  3. Step 3: Cross multiply
    289,211.60x = 433,817.40 × 147,056.60
  4. Step 4: Simplify right side
    289,211.60x = 63,795,711,864.84
  5. Step 5: Solve for x
    x = 63,795,711,864.84/289,211.60
  6. Step 6: Final answer
    x = 220,584.90

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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.