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Finding the Fourth Proportional to 303,730.96, 419,153.16 and 176,406.55

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Solution

The fourth proportional to 303,730.96, 419,153.16 and 176,406.55 is: 243,443.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,730.96 : 419,153.16 = 176,406.55 : x
  2. Step 2: Convert to fraction form
    303,730.96/419,153.16 = 176,406.55/x
  3. Step 3: Cross multiply
    303,730.96x = 419,153.16 × 176,406.55
  4. Step 4: Simplify right side
    303,730.96x = 73,941,362,877.20
  5. Step 5: Solve for x
    x = 73,941,362,877.20/303,730.96
  6. Step 6: Final answer
    x = 243,443.61

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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.