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Finding the Fourth Proportional to 549,676.40, 824,428.20 and 194,639.60

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Solution

The fourth proportional to 549,676.40, 824,428.20 and 194,639.60 is: 291,928.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,676.40 : 824,428.20 = 194,639.60 : x
  2. Step 2: Convert to fraction form
    549,676.40/824,428.20 = 194,639.60/x
  3. Step 3: Cross multiply
    549,676.40x = 824,428.20 × 194,639.60
  4. Step 4: Simplify right side
    549,676.40x = 160,466,375,076.72
  5. Step 5: Solve for x
    x = 160,466,375,076.72/549,676.40
  6. Step 6: Final answer
    x = 291,928.81

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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.