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Finding the Fourth Proportional to 397,622.94, 596,808.06 and 208,219.20

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Solution

The fourth proportional to 397,622.94, 596,808.06 and 208,219.20 is: 312,524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,622.94 : 596,808.06 = 208,219.20 : x
  2. Step 2: Convert to fraction form
    397,622.94/596,808.06 = 208,219.20/x
  3. Step 3: Cross multiply
    397,622.94x = 596,808.06 × 208,219.20
  4. Step 4: Simplify right side
    397,622.94x = 124,266,896,806.75
  5. Step 5: Solve for x
    x = 124,266,896,806.75/397,622.94
  6. Step 6: Final answer
    x = 312,524.47

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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.