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Finding the Fourth Proportional to 405,819.22, 560,209.86 and 242,533.32

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Solution

The fourth proportional to 405,819.22, 560,209.86 and 242,533.32 is: 334,803.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,819.22 : 560,209.86 = 242,533.32 : x
  2. Step 2: Convert to fraction form
    405,819.22/560,209.86 = 242,533.32/x
  3. Step 3: Cross multiply
    405,819.22x = 560,209.86 × 242,533.32
  4. Step 4: Simplify right side
    405,819.22x = 135,869,557,242.54
  5. Step 5: Solve for x
    x = 135,869,557,242.54/405,819.22
  6. Step 6: Final answer
    x = 334,803.16

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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.