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Finding the Fourth Proportional to 213,797.79, 320,597.87 and 120,303.54

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Solution

The fourth proportional to 213,797.79, 320,597.87 and 120,303.54 is: 180,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,797.79 : 320,597.87 = 120,303.54 : x
  2. Step 2: Convert to fraction form
    213,797.79/320,597.87 = 120,303.54/x
  3. Step 3: Cross multiply
    213,797.79x = 320,597.87 × 120,303.54
  4. Step 4: Simplify right side
    213,797.79x = 38,569,058,075.94
  5. Step 5: Solve for x
    x = 38,569,058,075.94/213,797.79
  6. Step 6: Final answer
    x = 180,399.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.