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Finding the Fourth Proportional to 538,922.88, 808,559.28 and 258,462

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Solution

The fourth proportional to 538,922.88, 808,559.28 and 258,462 is: 387,776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,922.88 : 808,559.28 = 258,462 : x
  2. Step 2: Convert to fraction form
    538,922.88/808,559.28 = 258,462/x
  3. Step 3: Cross multiply
    538,922.88x = 808,559.28 × 258,462
  4. Step 4: Simplify right side
    538,922.88x = 208,981,848,627.36
  5. Step 5: Solve for x
    x = 208,981,848,627.36/538,922.88
  6. Step 6: Final answer
    x = 387,776.91

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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.