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Finding the Fourth Proportional to 258,961.84, 357,401.40 and 145,806.64

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Solution

The fourth proportional to 258,961.84, 357,401.40 and 145,806.64 is: 201,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,961.84 : 357,401.40 = 145,806.64 : x
  2. Step 2: Convert to fraction form
    258,961.84/357,401.40 = 145,806.64/x
  3. Step 3: Cross multiply
    258,961.84x = 357,401.40 × 145,806.64
  4. Step 4: Simplify right side
    258,961.84x = 52,111,497,265.30
  5. Step 5: Solve for x
    x = 52,111,497,265.30/258,961.84
  6. Step 6: Final answer
    x = 201,232.34

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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.