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Finding the Fourth Proportional to 389,079.93, 583,450.40 and 206,670.82

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Solution

The fourth proportional to 389,079.93, 583,450.40 and 206,670.82 is: 309,916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,079.93 : 583,450.40 = 206,670.82 : x
  2. Step 2: Convert to fraction form
    389,079.93/583,450.40 = 206,670.82/x
  3. Step 3: Cross multiply
    389,079.93x = 583,450.40 × 206,670.82
  4. Step 4: Simplify right side
    389,079.93x = 120,582,171,563.97
  5. Step 5: Solve for x
    x = 120,582,171,563.97/389,079.93
  6. Step 6: Final answer
    x = 309,916.20

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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.