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Finding the Fourth Proportional to 408,873.16, 613,379.79 and 138,972.75

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Solution

The fourth proportional to 408,873.16, 613,379.79 and 138,972.75 is: 208,482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,873.16 : 613,379.79 = 138,972.75 : x
  2. Step 2: Convert to fraction form
    408,873.16/613,379.79 = 138,972.75/x
  3. Step 3: Cross multiply
    408,873.16x = 613,379.79 × 138,972.75
  4. Step 4: Simplify right side
    408,873.16x = 85,243,076,210.72
  5. Step 5: Solve for x
    x = 85,243,076,210.72/408,873.16
  6. Step 6: Final answer
    x = 208,482.93

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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.