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Finding the Fourth Proportional to 463,343.10, 639,405.32 and 256,607.21

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Solution

The fourth proportional to 463,343.10, 639,405.32 and 256,607.21 is: 354,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,343.10 : 639,405.32 = 256,607.21 : x
  2. Step 2: Convert to fraction form
    463,343.10/639,405.32 = 256,607.21/x
  3. Step 3: Cross multiply
    463,343.10x = 639,405.32 × 256,607.21
  4. Step 4: Simplify right side
    463,343.10x = 164,076,010,744.30
  5. Step 5: Solve for x
    x = 164,076,010,744.30/463,343.10
  6. Step 6: Final answer
    x = 354,113.42

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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.