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Finding the Fourth Proportional to 460,388.56, 635,290.80 and 256,432.64

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Solution

The fourth proportional to 460,388.56, 635,290.80 and 256,432.64 is: 353,851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,388.56 : 635,290.80 = 256,432.64 : x
  2. Step 2: Convert to fraction form
    460,388.56/635,290.80 = 256,432.64/x
  3. Step 3: Cross multiply
    460,388.56x = 635,290.80 × 256,432.64
  4. Step 4: Simplify right side
    460,388.56x = 162,909,297,011.71
  5. Step 5: Solve for x
    x = 162,909,297,011.71/460,388.56
  6. Step 6: Final answer
    x = 353,851.75

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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.