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Finding the Fourth Proportional to 272,834.70, 409,252.05 and 139,670.70

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Solution

The fourth proportional to 272,834.70, 409,252.05 and 139,670.70 is: 209,506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,834.70 : 409,252.05 = 139,670.70 : x
  2. Step 2: Convert to fraction form
    272,834.70/409,252.05 = 139,670.70/x
  3. Step 3: Cross multiply
    272,834.70x = 409,252.05 × 139,670.70
  4. Step 4: Simplify right side
    272,834.70x = 57,160,520,299.94
  5. Step 5: Solve for x
    x = 57,160,520,299.94/272,834.70
  6. Step 6: Final answer
    x = 209,506.05

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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.