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Finding the Fourth Proportional to 259,493.78, 358,093.28 and 152,135.31

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Solution

The fourth proportional to 259,493.78, 358,093.28 and 152,135.31 is: 209,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,493.78 : 358,093.28 = 152,135.31 : x
  2. Step 2: Convert to fraction form
    259,493.78/358,093.28 = 152,135.31/x
  3. Step 3: Cross multiply
    259,493.78x = 358,093.28 × 152,135.31
  4. Step 4: Simplify right side
    259,493.78x = 54,478,631,401.04
  5. Step 5: Solve for x
    x = 54,478,631,401.04/259,493.78
  6. Step 6: Final answer
    x = 209,941.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.