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Finding the Fourth Proportional to 397,711.88, 596,276.22 and 187,235

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Solution

The fourth proportional to 397,711.88, 596,276.22 and 187,235 is: 280,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,711.88 : 596,276.22 = 187,235 : x
  2. Step 2: Convert to fraction form
    397,711.88/596,276.22 = 187,235/x
  3. Step 3: Cross multiply
    397,711.88x = 596,276.22 × 187,235
  4. Step 4: Simplify right side
    397,711.88x = 111,643,778,051.70
  5. Step 5: Solve for x
    x = 111,643,778,051.70/397,711.88
  6. Step 6: Final answer
    x = 280,715.22

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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.