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Finding the Fourth Proportional to 284,059.24, 392,009.90 and 156,743.03

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Solution

The fourth proportional to 284,059.24, 392,009.90 and 156,743.03 is: 216,309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,059.24 : 392,009.90 = 156,743.03 : x
  2. Step 2: Convert to fraction form
    284,059.24/392,009.90 = 156,743.03/x
  3. Step 3: Cross multiply
    284,059.24x = 392,009.90 × 156,743.03
  4. Step 4: Simplify right side
    284,059.24x = 61,444,819,712.31
  5. Step 5: Solve for x
    x = 61,444,819,712.31/284,059.24
  6. Step 6: Final answer
    x = 216,309.88

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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.