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Finding the Fourth Proportional to 284,370.09, 392,433.40 and 161,856.48

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Solution

The fourth proportional to 284,370.09, 392,433.40 and 161,856.48 is: 223,363.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,370.09 : 392,433.40 = 161,856.48 : x
  2. Step 2: Convert to fraction form
    284,370.09/392,433.40 = 161,856.48/x
  3. Step 3: Cross multiply
    284,370.09x = 392,433.40 × 161,856.48
  4. Step 4: Simplify right side
    284,370.09x = 63,517,889,521.94
  5. Step 5: Solve for x
    x = 63,517,889,521.94/284,370.09
  6. Step 6: Final answer
    x = 223,363.47

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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.