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Finding the Fourth Proportional to 405,814.21, 560,202.96 and 242,528.32

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Solution

The fourth proportional to 405,814.21, 560,202.96 and 242,528.32 is: 334,796.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,814.21 : 560,202.96 = 242,528.32 : x
  2. Step 2: Convert to fraction form
    405,814.21/560,202.96 = 242,528.32/x
  3. Step 3: Cross multiply
    405,814.21x = 560,202.96 × 242,528.32
  4. Step 4: Simplify right side
    405,814.21x = 135,865,082,747.83
  5. Step 5: Solve for x
    x = 135,865,082,747.83/405,814.21
  6. Step 6: Final answer
    x = 334,796.27

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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.