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Finding the Fourth Proportional to 306,661.77, 423,120.94 and 257,789.24

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Solution

The fourth proportional to 306,661.77, 423,120.94 and 257,789.24 is: 355,688.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,661.77 : 423,120.94 = 257,789.24 : x
  2. Step 2: Convert to fraction form
    306,661.77/423,120.94 = 257,789.24/x
  3. Step 3: Cross multiply
    306,661.77x = 423,120.94 × 257,789.24
  4. Step 4: Simplify right side
    306,661.77x = 109,076,024,061.07
  5. Step 5: Solve for x
    x = 109,076,024,061.07/306,661.77
  6. Step 6: Final answer
    x = 355,688.37

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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.