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Finding the Fourth Proportional to 312,299, 468,461.46 and 90,683

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Solution

The fourth proportional to 312,299, 468,461.46 and 90,683 is: 136,028.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,299 : 468,461.46 = 90,683 : x
  2. Step 2: Convert to fraction form
    312,299/468,461.46 = 90,683/x
  3. Step 3: Cross multiply
    312,299x = 468,461.46 × 90,683
  4. Step 4: Simplify right side
    312,299x = 42,481,490,577.18
  5. Step 5: Solve for x
    x = 42,481,490,577.18/312,299
  6. Step 6: Final answer
    x = 136,028.26

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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.