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Finding the Fourth Proportional to 405,641.88, 559,736.10 and 224,329.32

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Solution

The fourth proportional to 405,641.88, 559,736.10 and 224,329.32 is: 309,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,641.88 : 559,736.10 = 224,329.32 : x
  2. Step 2: Convert to fraction form
    405,641.88/559,736.10 = 224,329.32/x
  3. Step 3: Cross multiply
    405,641.88x = 559,736.10 × 224,329.32
  4. Step 4: Simplify right side
    405,641.88x = 125,565,218,692.45
  5. Step 5: Solve for x
    x = 125,565,218,692.45/405,641.88
  6. Step 6: Final answer
    x = 309,546.98

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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.