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Finding the Fourth Proportional to 320,454.70, 480,681.44 and 120,819.87

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Solution

The fourth proportional to 320,454.70, 480,681.44 and 120,819.87 is: 181,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,454.70 : 480,681.44 = 120,819.87 : x
  2. Step 2: Convert to fraction form
    320,454.70/480,681.44 = 120,819.87/x
  3. Step 3: Cross multiply
    320,454.70x = 480,681.44 × 120,819.87
  4. Step 4: Simplify right side
    320,454.70x = 58,075,868,941.19
  5. Step 5: Solve for x
    x = 58,075,868,941.19/320,454.70
  6. Step 6: Final answer
    x = 181,229.58

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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.