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Finding the Fourth Proportional to 407,078.80, 610,518.64 and 318,111.64

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Solution

The fourth proportional to 407,078.80, 610,518.64 and 318,111.64 is: 477,089.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,078.80 : 610,518.64 = 318,111.64 : x
  2. Step 2: Convert to fraction form
    407,078.80/610,518.64 = 318,111.64/x
  3. Step 3: Cross multiply
    407,078.80x = 610,518.64 × 318,111.64
  4. Step 4: Simplify right side
    407,078.80x = 194,213,085,820.97
  5. Step 5: Solve for x
    x = 194,213,085,820.97/407,078.80
  6. Step 6: Final answer
    x = 477,089.66

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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.