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Finding the Fourth Proportional to 405,945.36, 560,209.68 and 224,656.83

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Solution

The fourth proportional to 405,945.36, 560,209.68 and 224,656.83 is: 310,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,945.36 : 560,209.68 = 224,656.83 : x
  2. Step 2: Convert to fraction form
    405,945.36/560,209.68 = 224,656.83/x
  3. Step 3: Cross multiply
    405,945.36x = 560,209.68 × 224,656.83
  4. Step 4: Simplify right side
    405,945.36x = 125,854,930,844.11
  5. Step 5: Solve for x
    x = 125,854,930,844.11/405,945.36
  6. Step 6: Final answer
    x = 310,029.24

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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.