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Finding the Fourth Proportional to 405,815.20, 560,204.32 and 242,529.32

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Solution

The fourth proportional to 405,815.20, 560,204.32 and 242,529.32 is: 334,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,815.20 : 560,204.32 = 242,529.32 : x
  2. Step 2: Convert to fraction form
    405,815.20/560,204.32 = 242,529.32/x
  3. Step 3: Cross multiply
    405,815.20x = 560,204.32 × 242,529.32
  4. Step 4: Simplify right side
    405,815.20x = 135,865,972,790.66
  5. Step 5: Solve for x
    x = 135,865,972,790.66/405,815.20
  6. Step 6: Final answer
    x = 334,797.64

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1.5x scale

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.