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Finding the Fourth Proportional to 252,289, 378,433.50 and 102,610.72

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Solution

The fourth proportional to 252,289, 378,433.50 and 102,610.72 is: 153,916.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,289 : 378,433.50 = 102,610.72 : x
  2. Step 2: Convert to fraction form
    252,289/378,433.50 = 102,610.72/x
  3. Step 3: Cross multiply
    252,289x = 378,433.50 × 102,610.72
  4. Step 4: Simplify right side
    252,289x = 38,831,333,907.12
  5. Step 5: Solve for x
    x = 38,831,333,907.12/252,289
  6. Step 6: Final answer
    x = 153,916.08

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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.