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Finding the Fourth Proportional to 282,938.40, 424,407.74 and 72,576.41

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Solution

The fourth proportional to 282,938.40, 424,407.74 and 72,576.41 is: 108,864.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,938.40 : 424,407.74 = 72,576.41 : x
  2. Step 2: Convert to fraction form
    282,938.40/424,407.74 = 72,576.41/x
  3. Step 3: Cross multiply
    282,938.40x = 424,407.74 × 72,576.41
  4. Step 4: Simplify right side
    282,938.40x = 30,801,987,660.49
  5. Step 5: Solve for x
    x = 30,801,987,660.49/282,938.40
  6. Step 6: Final answer
    x = 108,864.64

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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.