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Finding the Fourth Proportional to 272,825.82, 408,985.61 and 139,411.94

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Solution

The fourth proportional to 272,825.82, 408,985.61 and 139,411.94 is: 208,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,825.82 : 408,985.61 = 139,411.94 : x
  2. Step 2: Convert to fraction form
    272,825.82/408,985.61 = 139,411.94/x
  3. Step 3: Cross multiply
    272,825.82x = 408,985.61 × 139,411.94
  4. Step 4: Simplify right side
    272,825.82x = 57,017,474,580.20
  5. Step 5: Solve for x
    x = 57,017,474,580.20/272,825.82
  6. Step 6: Final answer
    x = 208,988.56

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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.