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Finding the Fourth Proportional to 306,284.21, 459,448.19 and 81,643.46

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Solution

The fourth proportional to 306,284.21, 459,448.19 and 81,643.46 is: 122,471.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,284.21 : 459,448.19 = 81,643.46 : x
  2. Step 2: Convert to fraction form
    306,284.21/459,448.19 = 81,643.46/x
  3. Step 3: Cross multiply
    306,284.21x = 459,448.19 × 81,643.46
  4. Step 4: Simplify right side
    306,284.21x = 37,510,937,216.88
  5. Step 5: Solve for x
    x = 37,510,937,216.88/306,284.21
  6. Step 6: Final answer
    x = 122,471.01

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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.