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Finding the Fourth Proportional to 405,793.06, 560,173.80 and 242,507.20

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Solution

The fourth proportional to 405,793.06, 560,173.80 and 242,507.20 is: 334,767.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,793.06 : 560,173.80 = 242,507.20 : x
  2. Step 2: Convert to fraction form
    405,793.06/560,173.80 = 242,507.20/x
  3. Step 3: Cross multiply
    405,793.06x = 560,173.80 × 242,507.20
  4. Step 4: Simplify right side
    405,793.06x = 135,846,179,751.36
  5. Step 5: Solve for x
    x = 135,846,179,751.36/405,793.06
  6. Step 6: Final answer
    x = 334,767.13

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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.