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Finding the Fourth Proportional to 328,484.16, 492,721.92 and 79,164

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Solution

The fourth proportional to 328,484.16, 492,721.92 and 79,164 is: 118,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,484.16 : 492,721.92 = 79,164 : x
  2. Step 2: Convert to fraction form
    328,484.16/492,721.92 = 79,164/x
  3. Step 3: Cross multiply
    328,484.16x = 492,721.92 × 79,164
  4. Step 4: Simplify right side
    328,484.16x = 39,005,838,074.88
  5. Step 5: Solve for x
    x = 39,005,838,074.88/328,484.16
  6. Step 6: Final answer
    x = 118,744.96

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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.