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Finding the Fourth Proportional to 463,457.32, 639,422.40 and 259,478.20

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Solution

The fourth proportional to 463,457.32, 639,422.40 and 259,478.20 is: 357,996.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,457.32 : 639,422.40 = 259,478.20 : x
  2. Step 2: Convert to fraction form
    463,457.32/639,422.40 = 259,478.20/x
  3. Step 3: Cross multiply
    463,457.32x = 639,422.40 × 259,478.20
  4. Step 4: Simplify right side
    463,457.32x = 165,916,173,391.68
  5. Step 5: Solve for x
    x = 165,916,173,391.68/463,457.32
  6. Step 6: Final answer
    x = 357,996.66

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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.