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Finding the Fourth Proportional to 438,433.99, 657,719.78 and 185,715.21

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Solution

The fourth proportional to 438,433.99, 657,719.78 and 185,715.21 is: 278,601.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,433.99 : 657,719.78 = 185,715.21 : x
  2. Step 2: Convert to fraction form
    438,433.99/657,719.78 = 185,715.21/x
  3. Step 3: Cross multiply
    438,433.99x = 657,719.78 × 185,715.21
  4. Step 4: Simplify right side
    438,433.99x = 122,148,567,063.85
  5. Step 5: Solve for x
    x = 122,148,567,063.85/438,433.99
  6. Step 6: Final answer
    x = 278,601.96

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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.