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Finding the Fourth Proportional to 430,249.59, 645,414.88 and 126,643.93

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Solution

The fourth proportional to 430,249.59, 645,414.88 and 126,643.93 is: 189,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,249.59 : 645,414.88 = 126,643.93 : x
  2. Step 2: Convert to fraction form
    430,249.59/645,414.88 = 126,643.93/x
  3. Step 3: Cross multiply
    430,249.59x = 645,414.88 × 126,643.93
  4. Step 4: Simplify right side
    430,249.59x = 81,737,874,953.53
  5. Step 5: Solve for x
    x = 81,737,874,953.53/430,249.59
  6. Step 6: Final answer
    x = 189,977.81

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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.