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Finding the Fourth Proportional to 338,953.72, 508,428.32 and 86,232

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Solution

The fourth proportional to 338,953.72, 508,428.32 and 86,232 is: 129,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,953.72 : 508,428.32 = 86,232 : x
  2. Step 2: Convert to fraction form
    338,953.72/508,428.32 = 86,232/x
  3. Step 3: Cross multiply
    338,953.72x = 508,428.32 × 86,232
  4. Step 4: Simplify right side
    338,953.72x = 43,842,790,890.24
  5. Step 5: Solve for x
    x = 43,842,790,890.24/338,953.72
  6. Step 6: Final answer
    x = 129,347.43

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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.