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Finding the Fourth Proportional to 720,684.48, 994,544 and 434,216.64

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Solution

The fourth proportional to 720,684.48, 994,544 and 434,216.64 is: 599,218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,684.48 : 994,544 = 434,216.64 : x
  2. Step 2: Convert to fraction form
    720,684.48/994,544 = 434,216.64/x
  3. Step 3: Cross multiply
    720,684.48x = 994,544 × 434,216.64
  4. Step 4: Simplify right side
    720,684.48x = 431,847,554,012.16
  5. Step 5: Solve for x
    x = 431,847,554,012.16/720,684.48
  6. Step 6: Final answer
    x = 599,218.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.