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Finding the Fourth Proportional to 449,693.30, 620,847.07 and 280,157.06

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Solution

The fourth proportional to 449,693.30, 620,847.07 and 280,157.06 is: 386,785.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,693.30 : 620,847.07 = 280,157.06 : x
  2. Step 2: Convert to fraction form
    449,693.30/620,847.07 = 280,157.06/x
  3. Step 3: Cross multiply
    449,693.30x = 620,847.07 × 280,157.06
  4. Step 4: Simplify right side
    449,693.30x = 173,934,689,840.81
  5. Step 5: Solve for x
    x = 173,934,689,840.81/449,693.30
  6. Step 6: Final answer
    x = 386,785.15

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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.