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Finding the Fourth Proportional to 460,757.77, 635,823.21 and 256,830.91

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Solution

The fourth proportional to 460,757.77, 635,823.21 and 256,830.91 is: 354,414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,757.77 : 635,823.21 = 256,830.91 : x
  2. Step 2: Convert to fraction form
    460,757.77/635,823.21 = 256,830.91/x
  3. Step 3: Cross multiply
    460,757.77x = 635,823.21 × 256,830.91
  4. Step 4: Simplify right side
    460,757.77x = 163,299,053,623.42
  5. Step 5: Solve for x
    x = 163,299,053,623.42/460,757.77
  6. Step 6: Final answer
    x = 354,414.11

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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.