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Finding the Fourth Proportional to 259,668.16, 389,520 and 153,207.70

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Solution

The fourth proportional to 259,668.16, 389,520 and 153,207.70 is: 229,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,668.16 : 389,520 = 153,207.70 : x
  2. Step 2: Convert to fraction form
    259,668.16/389,520 = 153,207.70/x
  3. Step 3: Cross multiply
    259,668.16x = 389,520 × 153,207.70
  4. Step 4: Simplify right side
    259,668.16x = 59,677,463,304.00
  5. Step 5: Solve for x
    x = 59,677,463,304.00/259,668.16
  6. Step 6: Final answer
    x = 229,822.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.