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Finding the Fourth Proportional to 533,418.12, 736,129.79 and 303,970.50

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Solution

The fourth proportional to 533,418.12, 736,129.79 and 303,970.50 is: 419,486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,418.12 : 736,129.79 = 303,970.50 : x
  2. Step 2: Convert to fraction form
    533,418.12/736,129.79 = 303,970.50/x
  3. Step 3: Cross multiply
    533,418.12x = 736,129.79 × 303,970.50
  4. Step 4: Simplify right side
    533,418.12x = 223,761,739,951.23
  5. Step 5: Solve for x
    x = 223,761,739,951.23/533,418.12
  6. Step 6: Final answer
    x = 419,486.57

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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.