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Finding the Fourth Proportional to 255,956.76, 353,149.47 and 165,316.55

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Solution

The fourth proportional to 255,956.76, 353,149.47 and 165,316.55 is: 228,091.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,956.76 : 353,149.47 = 165,316.55 : x
  2. Step 2: Convert to fraction form
    255,956.76/353,149.47 = 165,316.55/x
  3. Step 3: Cross multiply
    255,956.76x = 353,149.47 × 165,316.55
  4. Step 4: Simplify right side
    255,956.76x = 58,381,450,248.98
  5. Step 5: Solve for x
    x = 58,381,450,248.98/255,956.76
  6. Step 6: Final answer
    x = 228,091.07

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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.