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Finding the Fourth Proportional to 405,426.32, 559,485.22 and 224,145.90

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Solution

The fourth proportional to 405,426.32, 559,485.22 and 224,145.90 is: 309,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,426.32 : 559,485.22 = 224,145.90 : x
  2. Step 2: Convert to fraction form
    405,426.32/559,485.22 = 224,145.90/x
  3. Step 3: Cross multiply
    405,426.32x = 559,485.22 × 224,145.90
  4. Step 4: Simplify right side
    405,426.32x = 125,406,318,173.60
  5. Step 5: Solve for x
    x = 125,406,318,173.60/405,426.32
  6. Step 6: Final answer
    x = 309,319.63

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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.