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Finding the Fourth Proportional to 312,141.84, 468,226.12 and 122,643.24

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Solution

The fourth proportional to 312,141.84, 468,226.12 and 122,643.24 is: 183,970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,141.84 : 468,226.12 = 122,643.24 : x
  2. Step 2: Convert to fraction form
    312,141.84/468,226.12 = 122,643.24/x
  3. Step 3: Cross multiply
    312,141.84x = 468,226.12 × 122,643.24
  4. Step 4: Simplify right side
    312,141.84x = 57,424,768,409.43
  5. Step 5: Solve for x
    x = 57,424,768,409.43/312,141.84
  6. Step 6: Final answer
    x = 183,970.11

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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.