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Finding the Fourth Proportional to 289,026.85, 433,502 and 131,219.01

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Solution

The fourth proportional to 289,026.85, 433,502 and 131,219.01 is: 196,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,026.85 : 433,502 = 131,219.01 : x
  2. Step 2: Convert to fraction form
    289,026.85/433,502 = 131,219.01/x
  3. Step 3: Cross multiply
    289,026.85x = 433,502 × 131,219.01
  4. Step 4: Simplify right side
    289,026.85x = 56,883,703,273.02
  5. Step 5: Solve for x
    x = 56,883,703,273.02/289,026.85
  6. Step 6: Final answer
    x = 196,811.14

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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.