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Finding the Fourth Proportional to 513,016.64, 707,961.48 and 286,662.32

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Solution

The fourth proportional to 513,016.64, 707,961.48 and 286,662.32 is: 395,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,016.64 : 707,961.48 = 286,662.32 : x
  2. Step 2: Convert to fraction form
    513,016.64/707,961.48 = 286,662.32/x
  3. Step 3: Cross multiply
    513,016.64x = 707,961.48 × 286,662.32
  4. Step 4: Simplify right side
    513,016.64x = 202,945,880,327.43
  5. Step 5: Solve for x
    x = 202,945,880,327.43/513,016.64
  6. Step 6: Final answer
    x = 395,593.17

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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.