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Finding the Fourth Proportional to 427,801.60, 641,702.40 and 295,091.20

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Solution

The fourth proportional to 427,801.60, 641,702.40 and 295,091.20 is: 442,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,801.60 : 641,702.40 = 295,091.20 : x
  2. Step 2: Convert to fraction form
    427,801.60/641,702.40 = 295,091.20/x
  3. Step 3: Cross multiply
    427,801.60x = 641,702.40 × 295,091.20
  4. Step 4: Simplify right side
    427,801.60x = 189,360,731,258.88
  5. Step 5: Solve for x
    x = 189,360,731,258.88/427,801.60
  6. Step 6: Final answer
    x = 442,636.80

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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.