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Finding the Fourth Proportional to 274,468.72, 411,492.01 and 139,421.82

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Solution

The fourth proportional to 274,468.72, 411,492.01 and 139,421.82 is: 209,025.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,468.72 : 411,492.01 = 139,421.82 : x
  2. Step 2: Convert to fraction form
    274,468.72/411,492.01 = 139,421.82/x
  3. Step 3: Cross multiply
    274,468.72x = 411,492.01 × 139,421.82
  4. Step 4: Simplify right side
    274,468.72x = 57,370,964,949.66
  5. Step 5: Solve for x
    x = 57,370,964,949.66/274,468.72
  6. Step 6: Final answer
    x = 209,025.51

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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.