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Finding the Fourth Proportional to 405,377.60, 559,399.20 and 224,078.72

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Solution

The fourth proportional to 405,377.60, 559,399.20 and 224,078.72 is: 309,216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,377.60 : 559,399.20 = 224,078.72 : x
  2. Step 2: Convert to fraction form
    405,377.60/559,399.20 = 224,078.72/x
  3. Step 3: Cross multiply
    405,377.60x = 559,399.20 × 224,078.72
  4. Step 4: Simplify right side
    405,377.60x = 125,349,456,705.02
  5. Step 5: Solve for x
    x = 125,349,456,705.02/405,377.60
  6. Step 6: Final answer
    x = 309,216.53

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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.