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Finding the Fourth Proportional to 308,975.63, 461,146.86 and 288,797.45

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Solution

The fourth proportional to 308,975.63, 461,146.86 and 288,797.45 is: 431,030.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,975.63 : 461,146.86 = 288,797.45 : x
  2. Step 2: Convert to fraction form
    308,975.63/461,146.86 = 288,797.45/x
  3. Step 3: Cross multiply
    308,975.63x = 461,146.86 × 288,797.45
  4. Step 4: Simplify right side
    308,975.63x = 133,178,034,937.77
  5. Step 5: Solve for x
    x = 133,178,034,937.77/308,975.63
  6. Step 6: Final answer
    x = 431,030.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.