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Finding the Fourth Proportional to 338,409.71, 507,615.72 and 85,690.09

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Solution

The fourth proportional to 338,409.71, 507,615.72 and 85,690.09 is: 128,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,409.71 : 507,615.72 = 85,690.09 : x
  2. Step 2: Convert to fraction form
    338,409.71/507,615.72 = 85,690.09/x
  3. Step 3: Cross multiply
    338,409.71x = 507,615.72 × 85,690.09
  4. Step 4: Simplify right side
    338,409.71x = 43,497,634,190.06
  5. Step 5: Solve for x
    x = 43,497,634,190.06/338,409.71
  6. Step 6: Final answer
    x = 128,535.42

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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.