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Finding the Fourth Proportional to 318,074.64, 477,111.66 and 81,416.94

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Solution

The fourth proportional to 318,074.64, 477,111.66 and 81,416.94 is: 122,125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,074.64 : 477,111.66 = 81,416.94 : x
  2. Step 2: Convert to fraction form
    318,074.64/477,111.66 = 81,416.94/x
  3. Step 3: Cross multiply
    318,074.64x = 477,111.66 × 81,416.94
  4. Step 4: Simplify right side
    318,074.64x = 38,844,971,395.52
  5. Step 5: Solve for x
    x = 38,844,971,395.52/318,074.64
  6. Step 6: Final answer
    x = 122,125.33

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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.