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Finding the Fourth Proportional to 399,826.72, 600,037.08 and 189,465.40

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Solution

The fourth proportional to 399,826.72, 600,037.08 and 189,465.40 is: 284,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,826.72 : 600,037.08 = 189,465.40 : x
  2. Step 2: Convert to fraction form
    399,826.72/600,037.08 = 189,465.40/x
  3. Step 3: Cross multiply
    399,826.72x = 600,037.08 × 189,465.40
  4. Step 4: Simplify right side
    399,826.72x = 113,686,265,377.03
  5. Step 5: Solve for x
    x = 113,686,265,377.03/399,826.72
  6. Step 6: Final answer
    x = 284,338.84

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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.