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Finding the Fourth Proportional to 442,415.36, 662,589.68 and 406,690.71

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Solution

The fourth proportional to 442,415.36, 662,589.68 and 406,690.71 is: 609,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,415.36 : 662,589.68 = 406,690.71 : x
  2. Step 2: Convert to fraction form
    442,415.36/662,589.68 = 406,690.71/x
  3. Step 3: Cross multiply
    442,415.36x = 662,589.68 × 406,690.71
  4. Step 4: Simplify right side
    442,415.36x = 269,469,065,364.42
  5. Step 5: Solve for x
    x = 269,469,065,364.42/442,415.36
  6. Step 6: Final answer
    x = 609,086.15

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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.