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Finding the Fourth Proportional to 397,998.14, 549,224.54 and 216,708.60

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Solution

The fourth proportional to 397,998.14, 549,224.54 and 216,708.60 is: 299,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,998.14 : 549,224.54 = 216,708.60 : x
  2. Step 2: Convert to fraction form
    397,998.14/549,224.54 = 216,708.60/x
  3. Step 3: Cross multiply
    397,998.14x = 549,224.54 × 216,708.60
  4. Step 4: Simplify right side
    397,998.14x = 119,021,681,149.04
  5. Step 5: Solve for x
    x = 119,021,681,149.04/397,998.14
  6. Step 6: Final answer
    x = 299,050.85

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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.