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Finding the Fourth Proportional to 274,603,257.60, 411,904,886.40 and 145,160,851.20

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Solution

The fourth proportional to 274,603,257.60, 411,904,886.40 and 145,160,851.20 is: 217,741,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,603,257.60 : 411,904,886.40 = 145,160,851.20 : x
  2. Step 2: Convert to fraction form
    274,603,257.60/411,904,886.40 = 145,160,851.20/x
  3. Step 3: Cross multiply
    274,603,257.60x = 411,904,886.40 × 145,160,851.20
  4. Step 4: Simplify right side
    274,603,257.60x = 59,792,463,923,263,296
  5. Step 5: Solve for x
    x = 59,792,463,923,263,296/274,603,257.60
  6. Step 6: Final answer
    x = 217,741,276.80

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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.