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Finding the Fourth Proportional to 272,611.10, 409,000.03 and 139,585.46

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Solution

The fourth proportional to 272,611.10, 409,000.03 and 139,585.46 is: 209,420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,611.10 : 409,000.03 = 139,585.46 : x
  2. Step 2: Convert to fraction form
    272,611.10/409,000.03 = 139,585.46/x
  3. Step 3: Cross multiply
    272,611.10x = 409,000.03 × 139,585.46
  4. Step 4: Simplify right side
    272,611.10x = 57,090,454,933.60
  5. Step 5: Solve for x
    x = 57,090,454,933.60/272,611.10
  6. Step 6: Final answer
    x = 209,420.87

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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.