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Finding the Fourth Proportional to 479,690.84, 719,410.92 and 142,640.80

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Solution

The fourth proportional to 479,690.84, 719,410.92 and 142,640.80 is: 213,923.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,690.84 : 719,410.92 = 142,640.80 : x
  2. Step 2: Convert to fraction form
    479,690.84/719,410.92 = 142,640.80/x
  3. Step 3: Cross multiply
    479,690.84x = 719,410.92 × 142,640.80
  4. Step 4: Simplify right side
    479,690.84x = 102,617,349,157.54
  5. Step 5: Solve for x
    x = 102,617,349,157.54/479,690.84
  6. Step 6: Final answer
    x = 213,923.93

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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.