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Finding the Fourth Proportional to 312,266, 468,411.96 and 90,650

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Solution

The fourth proportional to 312,266, 468,411.96 and 90,650 is: 135,978.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,266 : 468,411.96 = 90,650 : x
  2. Step 2: Convert to fraction form
    312,266/468,411.96 = 90,650/x
  3. Step 3: Cross multiply
    312,266x = 468,411.96 × 90,650
  4. Step 4: Simplify right side
    312,266x = 42,461,544,174
  5. Step 5: Solve for x
    x = 42,461,544,174/312,266
  6. Step 6: Final answer
    x = 135,978.76

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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.