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Finding the Fourth Proportional to 312,293, 468,452.46 and 90,677

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Solution

The fourth proportional to 312,293, 468,452.46 and 90,677 is: 136,019.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,293 : 468,452.46 = 90,677 : x
  2. Step 2: Convert to fraction form
    312,293/468,452.46 = 90,677/x
  3. Step 3: Cross multiply
    312,293x = 468,452.46 × 90,677
  4. Step 4: Simplify right side
    312,293x = 42,477,863,715.42
  5. Step 5: Solve for x
    x = 42,477,863,715.42/312,293
  6. Step 6: Final answer
    x = 136,019.26

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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.