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Finding the Fourth Proportional to 284,571.30, 392,782.16 and 163,724.96

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Solution

The fourth proportional to 284,571.30, 392,782.16 and 163,724.96 is: 225,982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,571.30 : 392,782.16 = 163,724.96 : x
  2. Step 2: Convert to fraction form
    284,571.30/392,782.16 = 163,724.96/x
  3. Step 3: Cross multiply
    284,571.30x = 392,782.16 × 163,724.96
  4. Step 4: Simplify right side
    284,571.30x = 64,308,243,434.71
  5. Step 5: Solve for x
    x = 64,308,243,434.71/284,571.30
  6. Step 6: Final answer
    x = 225,982.89

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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.