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Finding the Fourth Proportional to 284,726,728.40, 427,090,092.60 and 254,493,640.40

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Solution

The fourth proportional to 284,726,728.40, 427,090,092.60 and 254,493,640.40 is: 381,740,460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,726,728.40 : 427,090,092.60 = 254,493,640.40 : x
  2. Step 2: Convert to fraction form
    284,726,728.40/427,090,092.60 = 254,493,640.40/x
  3. Step 3: Cross multiply
    284,726,728.40x = 427,090,092.60 × 254,493,640.40
  4. Step 4: Simplify right side
    284,726,728.40x = 108,691,712,444,547,104
  5. Step 5: Solve for x
    x = 108,691,712,444,547,104/284,726,728.40
  6. Step 6: Final answer
    x = 381,740,460.60

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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.