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Finding the Fourth Proportional to 533,836.93, 736,692.95 and 288,820.88

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Solution

The fourth proportional to 533,836.93, 736,692.95 and 288,820.88 is: 398,571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,836.93 : 736,692.95 = 288,820.88 : x
  2. Step 2: Convert to fraction form
    533,836.93/736,692.95 = 288,820.88/x
  3. Step 3: Cross multiply
    533,836.93x = 736,692.95 × 288,820.88
  4. Step 4: Simplify right side
    533,836.93x = 212,772,308,672.58
  5. Step 5: Solve for x
    x = 212,772,308,672.58/533,836.93
  6. Step 6: Final answer
    x = 398,571.73

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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.