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Finding the Fourth Proportional to 271,641.60, 406,658.88 and 201,830.40

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Solution

The fourth proportional to 271,641.60, 406,658.88 and 201,830.40 is: 302,148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,641.60 : 406,658.88 = 201,830.40 : x
  2. Step 2: Convert to fraction form
    271,641.60/406,658.88 = 201,830.40/x
  3. Step 3: Cross multiply
    271,641.60x = 406,658.88 × 201,830.40
  4. Step 4: Simplify right side
    271,641.60x = 82,076,124,413.95
  5. Step 5: Solve for x
    x = 82,076,124,413.95/271,641.60
  6. Step 6: Final answer
    x = 302,148.58

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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.