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Finding the Fourth Proportional to 342,178.41, 513,271.71 and 207,271.94

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Solution

The fourth proportional to 342,178.41, 513,271.71 and 207,271.94 is: 310,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,178.41 : 513,271.71 = 207,271.94 : x
  2. Step 2: Convert to fraction form
    342,178.41/513,271.71 = 207,271.94/x
  3. Step 3: Cross multiply
    342,178.41x = 513,271.71 × 207,271.94
  4. Step 4: Simplify right side
    342,178.41x = 106,386,822,042.46
  5. Step 5: Solve for x
    x = 106,386,822,042.46/342,178.41
  6. Step 6: Final answer
    x = 310,910.39

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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.