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Finding the Fourth Proportional to 312,462, 468,772.92 and 90,846

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Solution

The fourth proportional to 312,462, 468,772.92 and 90,846 is: 136,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,462 : 468,772.92 = 90,846 : x
  2. Step 2: Convert to fraction form
    312,462/468,772.92 = 90,846/x
  3. Step 3: Cross multiply
    312,462x = 468,772.92 × 90,846
  4. Step 4: Simplify right side
    312,462x = 42,586,144,690.32
  5. Step 5: Solve for x
    x = 42,586,144,690.32/312,462
  6. Step 6: Final answer
    x = 136,292.24

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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.