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Finding the Fourth Proportional to 668,478.84, 1,003,354.86 and 414,992.10

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Solution

The fourth proportional to 668,478.84, 1,003,354.86 and 414,992.10 is: 622,883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,478.84 : 1,003,354.86 = 414,992.10 : x
  2. Step 2: Convert to fraction form
    668,478.84/1,003,354.86 = 414,992.10/x
  3. Step 3: Cross multiply
    668,478.84x = 1,003,354.86 × 414,992.10
  4. Step 4: Simplify right side
    668,478.84x = 416,384,340,396.61
  5. Step 5: Solve for x
    x = 416,384,340,396.61/668,478.84
  6. Step 6: Final answer
    x = 622,883.35

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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.