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Finding the Fourth Proportional to 460,615.40, 635,633.07 and 256,655.78

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Solution

The fourth proportional to 460,615.40, 635,633.07 and 256,655.78 is: 354,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,615.40 : 635,633.07 = 256,655.78 : x
  2. Step 2: Convert to fraction form
    460,615.40/635,633.07 = 256,655.78/x
  3. Step 3: Cross multiply
    460,615.40x = 635,633.07 × 256,655.78
  4. Step 4: Simplify right side
    460,615.40x = 163,138,898,196.48
  5. Step 5: Solve for x
    x = 163,138,898,196.48/460,615.40
  6. Step 6: Final answer
    x = 354,175.96

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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.