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Finding the Fourth Proportional to 284,489.92, 392,607.32 and 163,631

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Solution

The fourth proportional to 284,489.92, 392,607.32 and 163,631 is: 225,817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,489.92 : 392,607.32 = 163,631 : x
  2. Step 2: Convert to fraction form
    284,489.92/392,607.32 = 163,631/x
  3. Step 3: Cross multiply
    284,489.92x = 392,607.32 × 163,631
  4. Step 4: Simplify right side
    284,489.92x = 64,242,728,378.92
  5. Step 5: Solve for x
    x = 64,242,728,378.92/284,489.92
  6. Step 6: Final answer
    x = 225,817.24

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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.