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Finding the Fourth Proportional to 306,074.07, 459,137.55 and 84,458.07

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Solution

The fourth proportional to 306,074.07, 459,137.55 and 84,458.07 is: 126,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,074.07 : 459,137.55 = 84,458.07 : x
  2. Step 2: Convert to fraction form
    306,074.07/459,137.55 = 84,458.07/x
  3. Step 3: Cross multiply
    306,074.07x = 459,137.55 × 84,458.07
  4. Step 4: Simplify right side
    306,074.07x = 38,777,871,337.53
  5. Step 5: Solve for x
    x = 38,777,871,337.53/306,074.07
  6. Step 6: Final answer
    x = 126,694.40

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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.