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Finding the Fourth Proportional to 398,412.75, 549,809.60 and 219,564.75

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Solution

The fourth proportional to 398,412.75, 549,809.60 and 219,564.75 is: 302,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,412.75 : 549,809.60 = 219,564.75 : x
  2. Step 2: Convert to fraction form
    398,412.75/549,809.60 = 219,564.75/x
  3. Step 3: Cross multiply
    398,412.75x = 549,809.60 × 219,564.75
  4. Step 4: Simplify right side
    398,412.75x = 120,718,806,273.78
  5. Step 5: Solve for x
    x = 120,718,806,273.78/398,412.75
  6. Step 6: Final answer
    x = 302,999.36

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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.