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Finding the Fourth Proportional to 284,329.44, 392,374.53 and 163,494.45

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Solution

The fourth proportional to 284,329.44, 392,374.53 and 163,494.45 is: 225,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,329.44 : 392,374.53 = 163,494.45 : x
  2. Step 2: Convert to fraction form
    284,329.44/392,374.53 = 163,494.45/x
  3. Step 3: Cross multiply
    284,329.44x = 392,374.53 × 163,494.45
  4. Step 4: Simplify right side
    284,329.44x = 64,151,057,976.36
  5. Step 5: Solve for x
    x = 64,151,057,976.36/284,329.44
  6. Step 6: Final answer
    x = 225,622.29

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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.