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Finding the Fourth Proportional to 455,239.86, 682,328.10 and 342,557.88

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Solution

The fourth proportional to 455,239.86, 682,328.10 and 342,557.88 is: 513,436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,239.86 : 682,328.10 = 342,557.88 : x
  2. Step 2: Convert to fraction form
    455,239.86/682,328.10 = 342,557.88/x
  3. Step 3: Cross multiply
    455,239.86x = 682,328.10 × 342,557.88
  4. Step 4: Simplify right side
    455,239.86x = 233,736,867,400.43
  5. Step 5: Solve for x
    x = 233,736,867,400.43/455,239.86
  6. Step 6: Final answer
    x = 513,436.74

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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.