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Finding the Fourth Proportional to 477,477.62, 716,261.39 and 140,518.43

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Solution

The fourth proportional to 477,477.62, 716,261.39 and 140,518.43 is: 210,790.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,477.62 : 716,261.39 = 140,518.43 : x
  2. Step 2: Convert to fraction form
    477,477.62/716,261.39 = 140,518.43/x
  3. Step 3: Cross multiply
    477,477.62x = 716,261.39 × 140,518.43
  4. Step 4: Simplify right side
    477,477.62x = 100,647,925,289.83
  5. Step 5: Solve for x
    x = 100,647,925,289.83/477,477.62
  6. Step 6: Final answer
    x = 210,790.87

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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.