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Finding the Fourth Proportional to 477,102.42, 715,653.16 and 122,115.87

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Solution

The fourth proportional to 477,102.42, 715,653.16 and 122,115.87 is: 183,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,102.42 : 715,653.16 = 122,115.87 : x
  2. Step 2: Convert to fraction form
    477,102.42/715,653.16 = 122,115.87/x
  3. Step 3: Cross multiply
    477,102.42x = 715,653.16 × 122,115.87
  4. Step 4: Simplify right side
    477,102.42x = 87,392,607,946.36
  5. Step 5: Solve for x
    x = 87,392,607,946.36/477,102.42
  6. Step 6: Final answer
    x = 183,173.68

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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.