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Finding the Fourth Proportional to 319,209.88, 477,970.09 and 192,681

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Solution

The fourth proportional to 319,209.88, 477,970.09 and 192,681 is: 288,511.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,209.88 : 477,970.09 = 192,681 : x
  2. Step 2: Convert to fraction form
    319,209.88/477,970.09 = 192,681/x
  3. Step 3: Cross multiply
    319,209.88x = 477,970.09 × 192,681
  4. Step 4: Simplify right side
    319,209.88x = 92,095,754,911.29
  5. Step 5: Solve for x
    x = 92,095,754,911.29/319,209.88
  6. Step 6: Final answer
    x = 288,511.61

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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.