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Finding the Fourth Proportional to 400,509.30, 600,100.50 and 281,599.68

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Solution

The fourth proportional to 400,509.30, 600,100.50 and 281,599.68 is: 421,933.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,509.30 : 600,100.50 = 281,599.68 : x
  2. Step 2: Convert to fraction form
    400,509.30/600,100.50 = 281,599.68/x
  3. Step 3: Cross multiply
    400,509.30x = 600,100.50 × 281,599.68
  4. Step 4: Simplify right side
    400,509.30x = 168,988,108,767.84
  5. Step 5: Solve for x
    x = 168,988,108,767.84/400,509.30
  6. Step 6: Final answer
    x = 421,933.05

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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.