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Finding the Fourth Proportional to 258,971.84, 357,415.20 and 145,816.64

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Solution

The fourth proportional to 258,971.84, 357,415.20 and 145,816.64 is: 201,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,971.84 : 357,415.20 = 145,816.64 : x
  2. Step 2: Convert to fraction form
    258,971.84/357,415.20 = 145,816.64/x
  3. Step 3: Cross multiply
    258,971.84x = 357,415.20 × 145,816.64
  4. Step 4: Simplify right side
    258,971.84x = 52,117,083,548.93
  5. Step 5: Solve for x
    x = 52,117,083,548.93/258,971.84
  6. Step 6: Final answer
    x = 201,246.14

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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.