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Finding the Fourth Proportional to 285,974.84, 428,965.29 and 86,296.98

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Solution

The fourth proportional to 285,974.84, 428,965.29 and 86,296.98 is: 129,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,974.84 : 428,965.29 = 86,296.98 : x
  2. Step 2: Convert to fraction form
    285,974.84/428,965.29 = 86,296.98/x
  3. Step 3: Cross multiply
    285,974.84x = 428,965.29 × 86,296.98
  4. Step 4: Simplify right side
    285,974.84x = 37,018,409,051.82
  5. Step 5: Solve for x
    x = 37,018,409,051.82/285,974.84
  6. Step 6: Final answer
    x = 129,446.39

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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.