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Finding the Fourth Proportional to 460,435.16, 635,316.17 and 256,481

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Solution

The fourth proportional to 460,435.16, 635,316.17 and 256,481 is: 353,896.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,435.16 : 635,316.17 = 256,481 : x
  2. Step 2: Convert to fraction form
    460,435.16/635,316.17 = 256,481/x
  3. Step 3: Cross multiply
    460,435.16x = 635,316.17 × 256,481
  4. Step 4: Simplify right side
    460,435.16x = 162,946,525,315.37
  5. Step 5: Solve for x
    x = 162,946,525,315.37/460,435.16
  6. Step 6: Final answer
    x = 353,896.79

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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.