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Finding the Fourth Proportional to 455,893.40, 683,840.10 and 403,405.40

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Solution

The fourth proportional to 455,893.40, 683,840.10 and 403,405.40 is: 605,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,893.40 : 683,840.10 = 403,405.40 : x
  2. Step 2: Convert to fraction form
    455,893.40/683,840.10 = 403,405.40/x
  3. Step 3: Cross multiply
    455,893.40x = 683,840.10 × 403,405.40
  4. Step 4: Simplify right side
    455,893.40x = 275,864,789,076.54
  5. Step 5: Solve for x
    x = 275,864,789,076.54/455,893.40
  6. Step 6: Final answer
    x = 605,108.10

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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.