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Finding the Fourth Proportional to 286,576.80, 429,865.20 and 198,103.20

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Solution

The fourth proportional to 286,576.80, 429,865.20 and 198,103.20 is: 297,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,576.80 : 429,865.20 = 198,103.20 : x
  2. Step 2: Convert to fraction form
    286,576.80/429,865.20 = 198,103.20/x
  3. Step 3: Cross multiply
    286,576.80x = 429,865.20 × 198,103.20
  4. Step 4: Simplify right side
    286,576.80x = 85,157,671,688.64
  5. Step 5: Solve for x
    x = 85,157,671,688.64/286,576.80
  6. Step 6: Final answer
    x = 297,154.80

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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.