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Finding the Fourth Proportional to 430,394, 645,694.68 and 134,906

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Solution

The fourth proportional to 430,394, 645,694.68 and 134,906 is: 202,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,394 : 645,694.68 = 134,906 : x
  2. Step 2: Convert to fraction form
    430,394/645,694.68 = 134,906/x
  3. Step 3: Cross multiply
    430,394x = 645,694.68 × 134,906
  4. Step 4: Simplify right side
    430,394x = 87,108,086,500.08
  5. Step 5: Solve for x
    x = 87,108,086,500.08/430,394
  6. Step 6: Final answer
    x = 202,391.50

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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.