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Finding the Fourth Proportional to 258,674.64, 356,967.36 and 145,497.12

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Solution

The fourth proportional to 258,674.64, 356,967.36 and 145,497.12 is: 200,783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,674.64 : 356,967.36 = 145,497.12 : x
  2. Step 2: Convert to fraction form
    258,674.64/356,967.36 = 145,497.12/x
  3. Step 3: Cross multiply
    258,674.64x = 356,967.36 × 145,497.12
  4. Step 4: Simplify right side
    258,674.64x = 51,937,722,814.00
  5. Step 5: Solve for x
    x = 51,937,722,814.00/258,674.64
  6. Step 6: Final answer
    x = 200,783.98

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1.5x scale

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.