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Finding the Fourth Proportional to 261,908, 361,416.03 and 154,453.40

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Solution

The fourth proportional to 261,908, 361,416.03 and 154,453.40 is: 213,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,908 : 361,416.03 = 154,453.40 : x
  2. Step 2: Convert to fraction form
    261,908/361,416.03 = 154,453.40/x
  3. Step 3: Cross multiply
    261,908x = 361,416.03 × 154,453.40
  4. Step 4: Simplify right side
    261,908x = 55,821,934,648.00
  5. Step 5: Solve for x
    x = 55,821,934,648.00/261,908
  6. Step 6: Final answer
    x = 213,135.66

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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.