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Finding the Fourth Proportional to 258,808.41, 357,146.84 and 145,609.29

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Solution

The fourth proportional to 258,808.41, 357,146.84 and 145,609.29 is: 200,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,808.41 : 357,146.84 = 145,609.29 : x
  2. Step 2: Convert to fraction form
    258,808.41/357,146.84 = 145,609.29/x
  3. Step 3: Cross multiply
    258,808.41x = 357,146.84 × 145,609.29
  4. Step 4: Simplify right side
    258,808.41x = 52,003,897,070.10
  5. Step 5: Solve for x
    x = 52,003,897,070.10/258,808.41
  6. Step 6: Final answer
    x = 200,935.89

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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.