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Finding the Fourth Proportional to 256,143.68, 353,463.90 and 142,973.72

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Solution

The fourth proportional to 256,143.68, 353,463.90 and 142,973.72 is: 197,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,143.68 : 353,463.90 = 142,973.72 : x
  2. Step 2: Convert to fraction form
    256,143.68/353,463.90 = 142,973.72/x
  3. Step 3: Cross multiply
    256,143.68x = 353,463.90 × 142,973.72
  4. Step 4: Simplify right side
    256,143.68x = 50,536,048,668.71
  5. Step 5: Solve for x
    x = 50,536,048,668.71/256,143.68
  6. Step 6: Final answer
    x = 197,295.71

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1.5x scale

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.