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Finding the Fourth Proportional to 397,327.80, 596,682.90 and 210,703.80

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Solution

The fourth proportional to 397,327.80, 596,682.90 and 210,703.80 is: 316,422.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,327.80 : 596,682.90 = 210,703.80 : x
  2. Step 2: Convert to fraction form
    397,327.80/596,682.90 = 210,703.80/x
  3. Step 3: Cross multiply
    397,327.80x = 596,682.90 × 210,703.80
  4. Step 4: Simplify right side
    397,327.80x = 125,723,354,425.02
  5. Step 5: Solve for x
    x = 125,723,354,425.02/397,327.80
  6. Step 6: Final answer
    x = 316,422.24

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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.