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Finding the Fourth Proportional to 677,778.85, 1,015,312 and 407,757.32

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Solution

The fourth proportional to 677,778.85, 1,015,312 and 407,757.32 is: 610,820.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,778.85 : 1,015,312 = 407,757.32 : x
  2. Step 2: Convert to fraction form
    677,778.85/1,015,312 = 407,757.32/x
  3. Step 3: Cross multiply
    677,778.85x = 1,015,312 × 407,757.32
  4. Step 4: Simplify right side
    677,778.85x = 414,000,900,083.84
  5. Step 5: Solve for x
    x = 414,000,900,083.84/677,778.85
  6. Step 6: Final answer
    x = 610,820.03

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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.