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Finding the Fourth Proportional to 538,955.82, 808,199.82 and 286,181.28

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Solution

The fourth proportional to 538,955.82, 808,199.82 and 286,181.28 is: 429,147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,955.82 : 808,199.82 = 286,181.28 : x
  2. Step 2: Convert to fraction form
    538,955.82/808,199.82 = 286,181.28/x
  3. Step 3: Cross multiply
    538,955.82x = 808,199.82 × 286,181.28
  4. Step 4: Simplify right side
    538,955.82x = 231,291,658,983.37
  5. Step 5: Solve for x
    x = 231,291,658,983.37/538,955.82
  6. Step 6: Final answer
    x = 429,147.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.