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Finding the Fourth Proportional to 720,490.86, 994,315.84 and 414,613.80

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Solution

The fourth proportional to 720,490.86, 994,315.84 and 414,613.80 is: 572,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,490.86 : 994,315.84 = 414,613.80 : x
  2. Step 2: Convert to fraction form
    720,490.86/994,315.84 = 414,613.80/x
  3. Step 3: Cross multiply
    720,490.86x = 994,315.84 × 414,613.80
  4. Step 4: Simplify right side
    720,490.86x = 412,257,067,786.06
  5. Step 5: Solve for x
    x = 412,257,067,786.06/720,490.86
  6. Step 6: Final answer
    x = 572,189.17

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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.