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Finding the Fourth Proportional to 427,521.63, 641,281.85 and 171,469.71

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Solution

The fourth proportional to 427,521.63, 641,281.85 and 171,469.71 is: 257,204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,521.63 : 641,281.85 = 171,469.71 : x
  2. Step 2: Convert to fraction form
    427,521.63/641,281.85 = 171,469.71/x
  3. Step 3: Cross multiply
    427,521.63x = 641,281.85 × 171,469.71
  4. Step 4: Simplify right side
    427,521.63x = 109,960,411,990.42
  5. Step 5: Solve for x
    x = 109,960,411,990.42/427,521.63
  6. Step 6: Final answer
    x = 257,204.32

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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.