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Finding the Fourth Proportional to 275,492.84, 413,050.60 and 140,295.20

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Solution

The fourth proportional to 275,492.84, 413,050.60 and 140,295.20 is: 210,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,492.84 : 413,050.60 = 140,295.20 : x
  2. Step 2: Convert to fraction form
    275,492.84/413,050.60 = 140,295.20/x
  3. Step 3: Cross multiply
    275,492.84x = 413,050.60 × 140,295.20
  4. Step 4: Simplify right side
    275,492.84x = 57,949,017,219.01
  5. Step 5: Solve for x
    x = 57,949,017,219.01/275,492.84
  6. Step 6: Final answer
    x = 210,346.73

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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.