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Finding the Fourth Proportional to 289,140.20, 433,904.70 and 162,780.20

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Solution

The fourth proportional to 289,140.20, 433,904.70 and 162,780.20 is: 244,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,140.20 : 433,904.70 = 162,780.20 : x
  2. Step 2: Convert to fraction form
    289,140.20/433,904.70 = 162,780.20/x
  3. Step 3: Cross multiply
    289,140.20x = 433,904.70 × 162,780.20
  4. Step 4: Simplify right side
    289,140.20x = 70,631,093,846.94
  5. Step 5: Solve for x
    x = 70,631,093,846.94/289,140.20
  6. Step 6: Final answer
    x = 244,279.74

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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.