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Finding the Fourth Proportional to 518,704.86, 777,402.81 and 278,222.34

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Solution

The fourth proportional to 518,704.86, 777,402.81 and 278,222.34 is: 416,982.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,704.86 : 777,402.81 = 278,222.34 : x
  2. Step 2: Convert to fraction form
    518,704.86/777,402.81 = 278,222.34/x
  3. Step 3: Cross multiply
    518,704.86x = 777,402.81 × 278,222.34
  4. Step 4: Simplify right side
    518,704.86x = 216,290,828,920.78
  5. Step 5: Solve for x
    x = 216,290,828,920.78/518,704.86
  6. Step 6: Final answer
    x = 416,982.46

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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.