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Finding the Fourth Proportional to 455,622.30, 683,433.45 and 313,904.70

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Solution

The fourth proportional to 455,622.30, 683,433.45 and 313,904.70 is: 470,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,622.30 : 683,433.45 = 313,904.70 : x
  2. Step 2: Convert to fraction form
    455,622.30/683,433.45 = 313,904.70/x
  3. Step 3: Cross multiply
    455,622.30x = 683,433.45 × 313,904.70
  4. Step 4: Simplify right side
    455,622.30x = 214,532,972,092.22
  5. Step 5: Solve for x
    x = 214,532,972,092.22/455,622.30
  6. Step 6: Final answer
    x = 470,857.05

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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.