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Finding the Fourth Proportional to 405,835.78, 560,049.78 and 242,483.41

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Solution

The fourth proportional to 405,835.78, 560,049.78 and 242,483.41 is: 334,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,835.78 : 560,049.78 = 242,483.41 : x
  2. Step 2: Convert to fraction form
    405,835.78/560,049.78 = 242,483.41/x
  3. Step 3: Cross multiply
    405,835.78x = 560,049.78 × 242,483.41
  4. Step 4: Simplify right side
    405,835.78x = 135,802,781,023.75
  5. Step 5: Solve for x
    x = 135,802,781,023.75/405,835.78
  6. Step 6: Final answer
    x = 334,624.96

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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.