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Finding the Fourth Proportional to 258,958.84, 357,397.26 and 145,803.64

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Solution

The fourth proportional to 258,958.84, 357,397.26 and 145,803.64 is: 201,228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,958.84 : 357,397.26 = 145,803.64 : x
  2. Step 2: Convert to fraction form
    258,958.84/357,397.26 = 145,803.64/x
  3. Step 3: Cross multiply
    258,958.84x = 357,397.26 × 145,803.64
  4. Step 4: Simplify right side
    258,958.84x = 52,109,821,434.03
  5. Step 5: Solve for x
    x = 52,109,821,434.03/258,958.84
  6. Step 6: Final answer
    x = 201,228.20

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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.