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Finding the Fourth Proportional to 258,674.77, 356,967.53 and 145,497.25

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Solution

The fourth proportional to 258,674.77, 356,967.53 and 145,497.25 is: 200,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,674.77 : 356,967.53 = 145,497.25 : x
  2. Step 2: Convert to fraction form
    258,674.77/356,967.53 = 145,497.25/x
  3. Step 3: Cross multiply
    258,674.77x = 356,967.53 × 145,497.25
  4. Step 4: Simplify right side
    258,674.77x = 51,937,793,226.81
  5. Step 5: Solve for x
    x = 51,937,793,226.81/258,674.77
  6. Step 6: Final answer
    x = 200,784.15

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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.