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Finding the Fourth Proportional to 641,208.84, 962,034.30 and 286,467.72

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Solution

The fourth proportional to 641,208.84, 962,034.30 and 286,467.72 is: 429,800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,208.84 : 962,034.30 = 286,467.72 : x
  2. Step 2: Convert to fraction form
    641,208.84/962,034.30 = 286,467.72/x
  3. Step 3: Cross multiply
    641,208.84x = 962,034.30 × 286,467.72
  4. Step 4: Simplify right side
    641,208.84x = 275,591,772,482.80
  5. Step 5: Solve for x
    x = 275,591,772,482.80/641,208.84
  6. Step 6: Final answer
    x = 429,800.33

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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.