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Finding the Fourth Proportional to 533,542,475, 736,288,615.50 and 289,355,339

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Solution

The fourth proportional to 533,542,475, 736,288,615.50 and 289,355,339 is: 399,310,367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,542,475 : 736,288,615.50 = 289,355,339 : x
  2. Step 2: Convert to fraction form
    533,542,475/736,288,615.50 = 289,355,339/x
  3. Step 3: Cross multiply
    533,542,475x = 736,288,615.50 × 289,355,339
  4. Step 4: Simplify right side
    533,542,475x = 213,049,041,939,843,168
  5. Step 5: Solve for x
    x = 213,049,041,939,843,168/533,542,475
  6. Step 6: Final answer
    x = 399,310,367.82

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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.