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Finding the Fourth Proportional to 413,423.70, 619,052.94 and 270,820.50

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Solution

The fourth proportional to 413,423.70, 619,052.94 and 270,820.50 is: 405,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,423.70 : 619,052.94 = 270,820.50 : x
  2. Step 2: Convert to fraction form
    413,423.70/619,052.94 = 270,820.50/x
  3. Step 3: Cross multiply
    413,423.70x = 619,052.94 × 270,820.50
  4. Step 4: Simplify right side
    413,423.70x = 167,652,226,737.27
  5. Step 5: Solve for x
    x = 167,652,226,737.27/413,423.70
  6. Step 6: Final answer
    x = 405,521.57

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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.