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Finding the Fourth Proportional to 397,855.07, 549,047 and 216,572.21

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Solution

The fourth proportional to 397,855.07, 549,047 and 216,572.21 is: 298,873.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,855.07 : 549,047 = 216,572.21 : x
  2. Step 2: Convert to fraction form
    397,855.07/549,047 = 216,572.21/x
  3. Step 3: Cross multiply
    397,855.07x = 549,047 × 216,572.21
  4. Step 4: Simplify right side
    397,855.07x = 118,908,322,183.87
  5. Step 5: Solve for x
    x = 118,908,322,183.87/397,855.07
  6. Step 6: Final answer
    x = 298,873.46

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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.