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Finding the Fourth Proportional to 397,114.20, 595,671.30 and 355,123.80

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Solution

The fourth proportional to 397,114.20, 595,671.30 and 355,123.80 is: 532,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,114.20 : 595,671.30 = 355,123.80 : x
  2. Step 2: Convert to fraction form
    397,114.20/595,671.30 = 355,123.80/x
  3. Step 3: Cross multiply
    397,114.20x = 595,671.30 × 355,123.80
  4. Step 4: Simplify right side
    397,114.20x = 211,537,055,606.94
  5. Step 5: Solve for x
    x = 211,537,055,606.94/397,114.20
  6. Step 6: Final answer
    x = 532,685.70

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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.