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Finding the Fourth Proportional to 471,580, 649,339.26 and 355,462.16

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Solution

The fourth proportional to 471,580, 649,339.26 and 355,462.16 is: 489,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,580 : 649,339.26 = 355,462.16 : x
  2. Step 2: Convert to fraction form
    471,580/649,339.26 = 355,462.16/x
  3. Step 3: Cross multiply
    471,580x = 649,339.26 × 355,462.16
  4. Step 4: Simplify right side
    471,580x = 230,815,535,932.40
  5. Step 5: Solve for x
    x = 230,815,535,932.40/471,580
  6. Step 6: Final answer
    x = 489,451.49

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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.