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Finding the Fourth Proportional to 312,075.90, 468,113.85 and 154,611.90

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Solution

The fourth proportional to 312,075.90, 468,113.85 and 154,611.90 is: 231,917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,075.90 : 468,113.85 = 154,611.90 : x
  2. Step 2: Convert to fraction form
    312,075.90/468,113.85 = 154,611.90/x
  3. Step 3: Cross multiply
    312,075.90x = 468,113.85 × 154,611.90
  4. Step 4: Simplify right side
    312,075.90x = 72,375,971,764.82
  5. Step 5: Solve for x
    x = 72,375,971,764.82/312,075.90
  6. Step 6: Final answer
    x = 231,917.85

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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.