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Finding the Fourth Proportional to 328,069.32, 492,104.01 and 78,751.32

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Solution

The fourth proportional to 328,069.32, 492,104.01 and 78,751.32 is: 118,126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,069.32 : 492,104.01 = 78,751.32 : x
  2. Step 2: Convert to fraction form
    328,069.32/492,104.01 = 78,751.32/x
  3. Step 3: Cross multiply
    328,069.32x = 492,104.01 × 78,751.32
  4. Step 4: Simplify right side
    328,069.32x = 38,753,840,364.79
  5. Step 5: Solve for x
    x = 38,753,840,364.79/328,069.32
  6. Step 6: Final answer
    x = 118,126.99

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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.