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Finding the Fourth Proportional to 549,098.40, 823,258.80 and 212,008.80

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Solution

The fourth proportional to 549,098.40, 823,258.80 and 212,008.80 is: 317,863.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,098.40 : 823,258.80 = 212,008.80 : x
  2. Step 2: Convert to fraction form
    549,098.40/823,258.80 = 212,008.80/x
  3. Step 3: Cross multiply
    549,098.40x = 823,258.80 × 212,008.80
  4. Step 4: Simplify right side
    549,098.40x = 174,538,110,277.44
  5. Step 5: Solve for x
    x = 174,538,110,277.44/549,098.40
  6. Step 6: Final answer
    x = 317,863.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.