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Finding the Fourth Proportional to 284,384.82, 392,471.73 and 163,564.01

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Solution

The fourth proportional to 284,384.82, 392,471.73 and 163,564.01 is: 225,730.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,384.82 : 392,471.73 = 163,564.01 : x
  2. Step 2: Convert to fraction form
    284,384.82/392,471.73 = 163,564.01/x
  3. Step 3: Cross multiply
    284,384.82x = 392,471.73 × 163,564.01
  4. Step 4: Simplify right side
    284,384.82x = 64,194,248,008.08
  5. Step 5: Solve for x
    x = 64,194,248,008.08/284,384.82
  6. Step 6: Final answer
    x = 225,730.22

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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.