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Finding the Fourth Proportional to 306,662.77, 423,122.32 and 257,790.24

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Solution

The fourth proportional to 306,662.77, 423,122.32 and 257,790.24 is: 355,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,662.77 : 423,122.32 = 257,790.24 : x
  2. Step 2: Convert to fraction form
    306,662.77/423,122.32 = 257,790.24/x
  3. Step 3: Cross multiply
    306,662.77x = 423,122.32 × 257,790.24
  4. Step 4: Simplify right side
    306,662.77x = 109,076,804,422.16
  5. Step 5: Solve for x
    x = 109,076,804,422.16/306,662.77
  6. Step 6: Final answer
    x = 355,689.75

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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.