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Finding the Fourth Proportional to 309,285.95, 463,825.14 and 138,400.58

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Solution

The fourth proportional to 309,285.95, 463,825.14 and 138,400.58 is: 207,554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,285.95 : 463,825.14 = 138,400.58 : x
  2. Step 2: Convert to fraction form
    309,285.95/463,825.14 = 138,400.58/x
  3. Step 3: Cross multiply
    309,285.95x = 463,825.14 × 138,400.58
  4. Step 4: Simplify right side
    309,285.95x = 64,193,669,035.14
  5. Step 5: Solve for x
    x = 64,193,669,035.14/309,285.95
  6. Step 6: Final answer
    x = 207,554.43

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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.