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Finding the Fourth Proportional to 312,294.42, 430,964.28 and 169,051.32

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Solution

The fourth proportional to 312,294.42, 430,964.28 and 169,051.32 is: 233,289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,294.42 : 430,964.28 = 169,051.32 : x
  2. Step 2: Convert to fraction form
    312,294.42/430,964.28 = 169,051.32/x
  3. Step 3: Cross multiply
    312,294.42x = 430,964.28 × 169,051.32
  4. Step 4: Simplify right side
    312,294.42x = 72,855,080,406.85
  5. Step 5: Solve for x
    x = 72,855,080,406.85/312,294.42
  6. Step 6: Final answer
    x = 233,289.73

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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.