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Finding the Fourth Proportional to 408,977.48, 613,746.45 and 142,738.00

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Solution

The fourth proportional to 408,977.48, 613,746.45 and 142,738.00 is: 214,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,977.48 : 613,746.45 = 142,738.00 : x
  2. Step 2: Convert to fraction form
    408,977.48/613,746.45 = 142,738.00/x
  3. Step 3: Cross multiply
    408,977.48x = 613,746.45 × 142,738.00
  4. Step 4: Simplify right side
    408,977.48x = 87,604,939,847.91
  5. Step 5: Solve for x
    x = 87,604,939,847.91/408,977.48
  6. Step 6: Final answer
    x = 214,204.80

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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.