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Finding the Fourth Proportional to 536,898, 805,347 and 142,914

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Solution

The fourth proportional to 536,898, 805,347 and 142,914 is: 214,371

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,898 : 805,347 = 142,914 : x
  2. Step 2: Convert to fraction form
    536,898/805,347 = 142,914/x
  3. Step 3: Cross multiply
    536,898x = 805,347 × 142,914
  4. Step 4: Simplify right side
    536,898x = 115,095,361,158
  5. Step 5: Solve for x
    x = 115,095,361,158/536,898
  6. Step 6: Final answer
    x = 214,371

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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.