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Finding the Fourth Proportional to 387,164.16, 580,807.80 and 134,521.92

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Solution

The fourth proportional to 387,164.16, 580,807.80 and 134,521.92 is: 201,804.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,164.16 : 580,807.80 = 134,521.92 : x
  2. Step 2: Convert to fraction form
    387,164.16/580,807.80 = 134,521.92/x
  3. Step 3: Cross multiply
    387,164.16x = 580,807.80 × 134,521.92
  4. Step 4: Simplify right side
    387,164.16x = 78,131,380,406.98
  5. Step 5: Solve for x
    x = 78,131,380,406.98/387,164.16
  6. Step 6: Final answer
    x = 201,804.27

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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.