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Finding the Fourth Proportional to 284,668.98, 392,871.84 and 163,815.36

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Solution

The fourth proportional to 284,668.98, 392,871.84 and 163,815.36 is: 226,081.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,668.98 : 392,871.84 = 163,815.36 : x
  2. Step 2: Convert to fraction form
    284,668.98/392,871.84 = 163,815.36/x
  3. Step 3: Cross multiply
    284,668.98x = 392,871.84 × 163,815.36
  4. Step 4: Simplify right side
    284,668.98x = 64,358,441,903.46
  5. Step 5: Solve for x
    x = 64,358,441,903.46/284,668.98
  6. Step 6: Final answer
    x = 226,081.68

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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.