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Finding the Fourth Proportional to 221,968.85, 306,400.31 and 145,492.87

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Solution

The fourth proportional to 221,968.85, 306,400.31 and 145,492.87 is: 200,834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,968.85 : 306,400.31 = 145,492.87 : x
  2. Step 2: Convert to fraction form
    221,968.85/306,400.31 = 145,492.87/x
  3. Step 3: Cross multiply
    221,968.85x = 306,400.31 × 145,492.87
  4. Step 4: Simplify right side
    221,968.85x = 44,579,058,977.32
  5. Step 5: Solve for x
    x = 44,579,058,977.32/221,968.85
  6. Step 6: Final answer
    x = 200,834.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.