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Finding the Fourth Proportional to 356,861.84, 535,293.76 and 120,370.64

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Solution

The fourth proportional to 356,861.84, 535,293.76 and 120,370.64 is: 180,556.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,861.84 : 535,293.76 = 120,370.64 : x
  2. Step 2: Convert to fraction form
    356,861.84/535,293.76 = 120,370.64/x
  3. Step 3: Cross multiply
    356,861.84x = 535,293.76 × 120,370.64
  4. Step 4: Simplify right side
    356,861.84x = 64,433,652,479.21
  5. Step 5: Solve for x
    x = 64,433,652,479.21/356,861.84
  6. Step 6: Final answer
    x = 180,556.30

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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.