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Finding the Fourth Proportional to 306,662.27, 423,121.63 and 257,789.74

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Solution

The fourth proportional to 306,662.27, 423,121.63 and 257,789.74 is: 355,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,662.27 : 423,121.63 = 257,789.74 : x
  2. Step 2: Convert to fraction form
    306,662.27/423,121.63 = 257,789.74/x
  3. Step 3: Cross multiply
    306,662.27x = 423,121.63 × 257,789.74
  4. Step 4: Simplify right side
    306,662.27x = 109,076,412,870.47
  5. Step 5: Solve for x
    x = 109,076,412,870.47/306,662.27
  6. Step 6: Final answer
    x = 355,689.06

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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.