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Finding the Fourth Proportional to 285,830.20, 428,745.30 and 98,860.60

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Solution

The fourth proportional to 285,830.20, 428,745.30 and 98,860.60 is: 148,290.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,830.20 : 428,745.30 = 98,860.60 : x
  2. Step 2: Convert to fraction form
    285,830.20/428,745.30 = 98,860.60/x
  3. Step 3: Cross multiply
    285,830.20x = 428,745.30 × 98,860.60
  4. Step 4: Simplify right side
    285,830.20x = 42,386,017,605.18
  5. Step 5: Solve for x
    x = 42,386,017,605.18/285,830.20
  6. Step 6: Final answer
    x = 148,290.90

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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.