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Finding the Fourth Proportional to 289,019.70, 433,521.45 and 131,247.90

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Solution

The fourth proportional to 289,019.70, 433,521.45 and 131,247.90 is: 196,868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,019.70 : 433,521.45 = 131,247.90 : x
  2. Step 2: Convert to fraction form
    289,019.70/433,521.45 = 131,247.90/x
  3. Step 3: Cross multiply
    289,019.70x = 433,521.45 × 131,247.90
  4. Step 4: Simplify right side
    289,019.70x = 56,898,779,917.46
  5. Step 5: Solve for x
    x = 56,898,779,917.46/289,019.70
  6. Step 6: Final answer
    x = 196,868.17

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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.