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Finding the Fourth Proportional to 654,420.48, 981,449.28 and 414,378.24

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Solution

The fourth proportional to 654,420.48, 981,449.28 and 414,378.24 is: 621,452.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,420.48 : 981,449.28 = 414,378.24 : x
  2. Step 2: Convert to fraction form
    654,420.48/981,449.28 = 414,378.24/x
  3. Step 3: Cross multiply
    654,420.48x = 981,449.28 × 414,378.24
  4. Step 4: Simplify right side
    654,420.48x = 406,691,225,295.67
  5. Step 5: Solve for x
    x = 406,691,225,295.67/654,420.48
  6. Step 6: Final answer
    x = 621,452.47

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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.