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Finding the Fourth Proportional to 306,030.68, 459,119.82 and 106,322

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Solution

The fourth proportional to 306,030.68, 459,119.82 and 106,322 is: 159,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,030.68 : 459,119.82 = 106,322 : x
  2. Step 2: Convert to fraction form
    306,030.68/459,119.82 = 106,322/x
  3. Step 3: Cross multiply
    306,030.68x = 459,119.82 × 106,322
  4. Step 4: Simplify right side
    306,030.68x = 48,814,537,502.04
  5. Step 5: Solve for x
    x = 48,814,537,502.04/306,030.68
  6. Step 6: Final answer
    x = 159,508.64

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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.