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Finding the Fourth Proportional to 533,703.75, 736,959.95 and 381,209.72

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Solution

The fourth proportional to 533,703.75, 736,959.95 and 381,209.72 is: 526,389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,703.75 : 736,959.95 = 381,209.72 : x
  2. Step 2: Convert to fraction form
    533,703.75/736,959.95 = 381,209.72/x
  3. Step 3: Cross multiply
    533,703.75x = 736,959.95 × 381,209.72
  4. Step 4: Simplify right side
    533,703.75x = 280,936,290,599.87
  5. Step 5: Solve for x
    x = 280,936,290,599.87/533,703.75
  6. Step 6: Final answer
    x = 526,389.95

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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.