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Finding the Fourth Proportional to 405,535.48, 608,402.34 and 285,825.88

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Solution

The fourth proportional to 405,535.48, 608,402.34 and 285,825.88 is: 428,808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,535.48 : 608,402.34 = 285,825.88 : x
  2. Step 2: Convert to fraction form
    405,535.48/608,402.34 = 285,825.88/x
  3. Step 3: Cross multiply
    405,535.48x = 608,402.34 × 285,825.88
  4. Step 4: Simplify right side
    405,535.48x = 173,897,134,224.56
  5. Step 5: Solve for x
    x = 173,897,134,224.56/405,535.48
  6. Step 6: Final answer
    x = 428,808.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.