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Finding the Fourth Proportional to 257,036.34, 385,568.85 and 79,529.49

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Solution

The fourth proportional to 257,036.34, 385,568.85 and 79,529.49 is: 119,298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,036.34 : 385,568.85 = 79,529.49 : x
  2. Step 2: Convert to fraction form
    257,036.34/385,568.85 = 79,529.49/x
  3. Step 3: Cross multiply
    257,036.34x = 385,568.85 × 79,529.49
  4. Step 4: Simplify right side
    257,036.34x = 30,664,094,000.39
  5. Step 5: Solve for x
    x = 30,664,094,000.39/257,036.34
  6. Step 6: Final answer
    x = 119,298.67

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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.