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Finding the Fourth Proportional to 405,296.56, 559,338.21 and 224,004.59

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Solution

The fourth proportional to 405,296.56, 559,338.21 and 224,004.59 is: 309,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,296.56 : 559,338.21 = 224,004.59 : x
  2. Step 2: Convert to fraction form
    405,296.56/559,338.21 = 224,004.59/x
  3. Step 3: Cross multiply
    405,296.56x = 559,338.21 × 224,004.59
  4. Step 4: Simplify right side
    405,296.56x = 125,294,326,402.38
  5. Step 5: Solve for x
    x = 125,294,326,402.38/405,296.56
  6. Step 6: Final answer
    x = 309,142.34

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1.5x scale

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.