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Finding the Fourth Proportional to 257,706.56, 355,628.41 and 142,984.78

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Solution

The fourth proportional to 257,706.56, 355,628.41 and 142,984.78 is: 197,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,706.56 : 355,628.41 = 142,984.78 : x
  2. Step 2: Convert to fraction form
    257,706.56/355,628.41 = 142,984.78/x
  3. Step 3: Cross multiply
    257,706.56x = 355,628.41 × 142,984.78
  4. Step 4: Simplify right side
    257,706.56x = 50,849,448,719.07
  5. Step 5: Solve for x
    x = 50,849,448,719.07/257,706.56
  6. Step 6: Final answer
    x = 197,315.30

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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.