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Finding the Fourth Proportional to 455,536, 682,448.64 and 421,166.08

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Solution

The fourth proportional to 455,536, 682,448.64 and 421,166.08 is: 630,958.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,536 : 682,448.64 = 421,166.08 : x
  2. Step 2: Convert to fraction form
    455,536/682,448.64 = 421,166.08/x
  3. Step 3: Cross multiply
    455,536x = 682,448.64 × 421,166.08
  4. Step 4: Simplify right side
    455,536x = 287,424,218,510.13
  5. Step 5: Solve for x
    x = 287,424,218,510.13/455,536
  6. Step 6: Final answer
    x = 630,958.30

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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.