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Finding the Fourth Proportional to 408,865.78, 613,400.73 and 142,628.50

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Solution

The fourth proportional to 408,865.78, 613,400.73 and 142,628.50 is: 213,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,865.78 : 613,400.73 = 142,628.50 : x
  2. Step 2: Convert to fraction form
    408,865.78/613,400.73 = 142,628.50/x
  3. Step 3: Cross multiply
    408,865.78x = 613,400.73 × 142,628.50
  4. Step 4: Simplify right side
    408,865.78x = 87,488,426,018.81
  5. Step 5: Solve for x
    x = 87,488,426,018.81/408,865.78
  6. Step 6: Final answer
    x = 213,978.35

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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.