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Finding the Fourth Proportional to 262,256.34, 392,538.57 and 135,722.51

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Solution

The fourth proportional to 262,256.34, 392,538.57 and 135,722.51 is: 203,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,256.34 : 392,538.57 = 135,722.51 : x
  2. Step 2: Convert to fraction form
    262,256.34/392,538.57 = 135,722.51/x
  3. Step 3: Cross multiply
    262,256.34x = 392,538.57 × 135,722.51
  4. Step 4: Simplify right side
    262,256.34x = 53,276,319,992.21
  5. Step 5: Solve for x
    x = 53,276,319,992.21/262,256.34
  6. Step 6: Final answer
    x = 203,145.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.