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Finding the Fourth Proportional to 308,681.79, 463,040.61 and 119,143.23

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Solution

The fourth proportional to 308,681.79, 463,040.61 and 119,143.23 is: 178,721.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,681.79 : 463,040.61 = 119,143.23 : x
  2. Step 2: Convert to fraction form
    308,681.79/463,040.61 = 119,143.23/x
  3. Step 3: Cross multiply
    308,681.79x = 463,040.61 × 119,143.23
  4. Step 4: Simplify right side
    308,681.79x = 55,168,153,896.57
  5. Step 5: Solve for x
    x = 55,168,153,896.57/308,681.79
  6. Step 6: Final answer
    x = 178,721.76

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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.