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Finding the Fourth Proportional to 397,418.54, 596,390.43 and 187,116.62

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Solution

The fourth proportional to 397,418.54, 596,390.43 and 187,116.62 is: 280,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,418.54 : 596,390.43 = 187,116.62 : x
  2. Step 2: Convert to fraction form
    397,418.54/596,390.43 = 187,116.62/x
  3. Step 3: Cross multiply
    397,418.54x = 596,390.43 × 187,116.62
  4. Step 4: Simplify right side
    397,418.54x = 111,594,561,461.95
  5. Step 5: Solve for x
    x = 111,594,561,461.95/397,418.54
  6. Step 6: Final answer
    x = 280,798.58

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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.