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Finding the Fourth Proportional to 460,299.42, 635,213.40 and 256,389.48

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Solution

The fourth proportional to 460,299.42, 635,213.40 and 256,389.48 is: 353,817.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,299.42 : 635,213.40 = 256,389.48 : x
  2. Step 2: Convert to fraction form
    460,299.42/635,213.40 = 256,389.48/x
  3. Step 3: Cross multiply
    460,299.42x = 635,213.40 × 256,389.48
  4. Step 4: Simplify right side
    460,299.42x = 162,862,033,315.03
  5. Step 5: Solve for x
    x = 162,862,033,315.03/460,299.42
  6. Step 6: Final answer
    x = 353,817.59

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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.