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Finding the Fourth Proportional to 257,491.91, 355,304.88 and 142,764.93

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Solution

The fourth proportional to 257,491.91, 355,304.88 and 142,764.93 is: 196,996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,491.91 : 355,304.88 = 142,764.93 : x
  2. Step 2: Convert to fraction form
    257,491.91/355,304.88 = 142,764.93/x
  3. Step 3: Cross multiply
    257,491.91x = 355,304.88 × 142,764.93
  4. Step 4: Simplify right side
    257,491.91x = 50,725,076,321.86
  5. Step 5: Solve for x
    x = 50,725,076,321.86/257,491.91
  6. Step 6: Final answer
    x = 196,996.77

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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.