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Finding the Fourth Proportional to 465,816.64, 642,724.32 and 296,299.84

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Solution

The fourth proportional to 465,816.64, 642,724.32 and 296,299.84 is: 408,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,816.64 : 642,724.32 = 296,299.84 : x
  2. Step 2: Convert to fraction form
    465,816.64/642,724.32 = 296,299.84/x
  3. Step 3: Cross multiply
    465,816.64x = 642,724.32 × 296,299.84
  4. Step 4: Simplify right side
    465,816.64x = 190,439,113,180.11
  5. Step 5: Solve for x
    x = 190,439,113,180.11/465,816.64
  6. Step 6: Final answer
    x = 408,828.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.