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Finding the Fourth Proportional to 699,322, 965,075.88 and 381,370

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Solution

The fourth proportional to 699,322, 965,075.88 and 381,370 is: 526,296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,322 : 965,075.88 = 381,370 : x
  2. Step 2: Convert to fraction form
    699,322/965,075.88 = 381,370/x
  3. Step 3: Cross multiply
    699,322x = 965,075.88 × 381,370
  4. Step 4: Simplify right side
    699,322x = 368,050,988,355.60
  5. Step 5: Solve for x
    x = 368,050,988,355.60/699,322
  6. Step 6: Final answer
    x = 526,296.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.