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Finding the Fourth Proportional to 405,905.20, 610,024.20 and 354,583.60

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Solution

The fourth proportional to 405,905.20, 610,024.20 and 354,583.60 is: 532,894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,905.20 : 610,024.20 = 354,583.60 : x
  2. Step 2: Convert to fraction form
    405,905.20/610,024.20 = 354,583.60/x
  3. Step 3: Cross multiply
    405,905.20x = 610,024.20 × 354,583.60
  4. Step 4: Simplify right side
    405,905.20x = 216,304,576,923.12
  5. Step 5: Solve for x
    x = 216,304,576,923.12/405,905.20
  6. Step 6: Final answer
    x = 532,894.32

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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.