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Finding the Fourth Proportional to 335,974.50, 503,971.47 and 86,656.50

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Solution

The fourth proportional to 335,974.50, 503,971.47 and 86,656.50 is: 129,987.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,974.50 : 503,971.47 = 86,656.50 : x
  2. Step 2: Convert to fraction form
    335,974.50/503,971.47 = 86,656.50/x
  3. Step 3: Cross multiply
    335,974.50x = 503,971.47 × 86,656.50
  4. Step 4: Simplify right side
    335,974.50x = 43,672,403,690.06
  5. Step 5: Solve for x
    x = 43,672,403,690.06/335,974.50
  6. Step 6: Final answer
    x = 129,987.26

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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.