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Finding the Fourth Proportional to 313,913.76, 471,009.83 and 178,972.89

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Solution

The fourth proportional to 313,913.76, 471,009.83 and 178,972.89 is: 268,538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,913.76 : 471,009.83 = 178,972.89 : x
  2. Step 2: Convert to fraction form
    313,913.76/471,009.83 = 178,972.89/x
  3. Step 3: Cross multiply
    313,913.76x = 471,009.83 × 178,972.89
  4. Step 4: Simplify right side
    313,913.76x = 84,297,989,598.64
  5. Step 5: Solve for x
    x = 84,297,989,598.64/313,913.76
  6. Step 6: Final answer
    x = 268,538.69

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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.