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Finding the Fourth Proportional to 397,855.14, 549,047.10 and 216,572.28

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Solution

The fourth proportional to 397,855.14, 549,047.10 and 216,572.28 is: 298,873.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,855.14 : 549,047.10 = 216,572.28 : x
  2. Step 2: Convert to fraction form
    397,855.14/549,047.10 = 216,572.28/x
  3. Step 3: Cross multiply
    397,855.14x = 549,047.10 × 216,572.28
  4. Step 4: Simplify right side
    397,855.14x = 118,908,382,274.39
  5. Step 5: Solve for x
    x = 118,908,382,274.39/397,855.14
  6. Step 6: Final answer
    x = 298,873.56

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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.