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Finding the Fourth Proportional to 221,483.92, 305,541.46 and 144,969.32

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Solution

The fourth proportional to 221,483.92, 305,541.46 and 144,969.32 is: 199,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,483.92 : 305,541.46 = 144,969.32 : x
  2. Step 2: Convert to fraction form
    221,483.92/305,541.46 = 144,969.32/x
  3. Step 3: Cross multiply
    221,483.92x = 305,541.46 × 144,969.32
  4. Step 4: Simplify right side
    221,483.92x = 44,294,137,688.01
  5. Step 5: Solve for x
    x = 44,294,137,688.01/221,483.92
  6. Step 6: Final answer
    x = 199,988.05

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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.