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Finding the Fourth Proportional to 230,550, 318,421.44 and 154,967.28

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Solution

The fourth proportional to 230,550, 318,421.44 and 154,967.28 is: 214,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,550 : 318,421.44 = 154,967.28 : x
  2. Step 2: Convert to fraction form
    230,550/318,421.44 = 154,967.28/x
  3. Step 3: Cross multiply
    230,550x = 318,421.44 × 154,967.28
  4. Step 4: Simplify right side
    230,550x = 49,344,904,450.48
  5. Step 5: Solve for x
    x = 49,344,904,450.48/230,550
  6. Step 6: Final answer
    x = 214,031.25

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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.