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Finding the Fourth Proportional to 405,447.48, 559,501.02 and 224,147.88

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Solution

The fourth proportional to 405,447.48, 559,501.02 and 224,147.88 is: 309,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,447.48 : 559,501.02 = 224,147.88 : x
  2. Step 2: Convert to fraction form
    405,447.48/559,501.02 = 224,147.88/x
  3. Step 3: Cross multiply
    405,447.48x = 559,501.02 × 224,147.88
  4. Step 4: Simplify right side
    405,447.48x = 125,410,967,490.84
  5. Step 5: Solve for x
    x = 125,410,967,490.84/405,447.48
  6. Step 6: Final answer
    x = 309,314.95

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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.