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Finding the Fourth Proportional to 420,296.46, 629,602.47 and 398,219.82

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Solution

The fourth proportional to 420,296.46, 629,602.47 and 398,219.82 is: 596,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,296.46 : 629,602.47 = 398,219.82 : x
  2. Step 2: Convert to fraction form
    420,296.46/629,602.47 = 398,219.82/x
  3. Step 3: Cross multiply
    420,296.46x = 629,602.47 × 398,219.82
  4. Step 4: Simplify right side
    420,296.46x = 250,720,182,274.96
  5. Step 5: Solve for x
    x = 250,720,182,274.96/420,296.46
  6. Step 6: Final answer
    x = 596,531.75

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1.5x scale

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.