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Finding the Fourth Proportional to 408,925.86, 613,485.78 and 128,443.11

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Solution

The fourth proportional to 408,925.86, 613,485.78 and 128,443.11 is: 192,695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,925.86 : 613,485.78 = 128,443.11 : x
  2. Step 2: Convert to fraction form
    408,925.86/613,485.78 = 128,443.11/x
  3. Step 3: Cross multiply
    408,925.86x = 613,485.78 × 128,443.11
  4. Step 4: Simplify right side
    408,925.86x = 78,798,021,523.98
  5. Step 5: Solve for x
    x = 78,798,021,523.98/408,925.86
  6. Step 6: Final answer
    x = 192,695.13

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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.