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Finding the Fourth Proportional to 284,859, 392,986.64 and 163,971.36

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Solution

The fourth proportional to 284,859, 392,986.64 and 163,971.36 is: 226,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,859 : 392,986.64 = 163,971.36 : x
  2. Step 2: Convert to fraction form
    284,859/392,986.64 = 163,971.36/x
  3. Step 3: Cross multiply
    284,859x = 392,986.64 × 163,971.36
  4. Step 4: Simplify right side
    284,859x = 64,438,553,822.63
  5. Step 5: Solve for x
    x = 64,438,553,822.63/284,859
  6. Step 6: Final answer
    x = 226,212.10

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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.