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Finding the Fourth Proportional to 515,863.22, 710,720.19 and 399,175.46

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Solution

The fourth proportional to 515,863.22, 710,720.19 and 399,175.46 is: 549,955.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,863.22 : 710,720.19 = 399,175.46 : x
  2. Step 2: Convert to fraction form
    515,863.22/710,720.19 = 399,175.46/x
  3. Step 3: Cross multiply
    515,863.22x = 710,720.19 × 399,175.46
  4. Step 4: Simplify right side
    515,863.22x = 283,702,058,774.54
  5. Step 5: Solve for x
    x = 283,702,058,774.54/515,863.22
  6. Step 6: Final answer
    x = 549,955.97

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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.