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Finding the Fourth Proportional to 654,438.48, 981,476.28 and 414,396.24

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Solution

The fourth proportional to 654,438.48, 981,476.28 and 414,396.24 is: 621,479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,438.48 : 981,476.28 = 414,396.24 : x
  2. Step 2: Convert to fraction form
    654,438.48/981,476.28 = 414,396.24/x
  3. Step 3: Cross multiply
    654,438.48x = 981,476.28 × 414,396.24
  4. Step 4: Simplify right side
    654,438.48x = 406,720,080,081.19
  5. Step 5: Solve for x
    x = 406,720,080,081.19/654,438.48
  6. Step 6: Final answer
    x = 621,479.47

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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.