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Finding the Fourth Proportional to 289,063.20, 433,724.40 and 131,210.40

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Solution

The fourth proportional to 289,063.20, 433,724.40 and 131,210.40 is: 196,874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,063.20 : 433,724.40 = 131,210.40 : x
  2. Step 2: Convert to fraction form
    289,063.20/433,724.40 = 131,210.40/x
  3. Step 3: Cross multiply
    289,063.20x = 433,724.40 × 131,210.40
  4. Step 4: Simplify right side
    289,063.20x = 56,909,152,013.76
  5. Step 5: Solve for x
    x = 56,909,152,013.76/289,063.20
  6. Step 6: Final answer
    x = 196,874.43

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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.