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Finding the Fourth Proportional to 413,640.70, 619,148.85 and 413,640.70

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Solution

The fourth proportional to 413,640.70, 619,148.85 and 413,640.70 is: 619,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,640.70 : 619,148.85 = 413,640.70 : x
  2. Step 2: Convert to fraction form
    413,640.70/619,148.85 = 413,640.70/x
  3. Step 3: Cross multiply
    413,640.70x = 619,148.85 × 413,640.70
  4. Step 4: Simplify right side
    413,640.70x = 256,105,163,718.20
  5. Step 5: Solve for x
    x = 256,105,163,718.20/413,640.70
  6. Step 6: Final answer
    x = 619,148.85

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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.