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Finding the Fourth Proportional to 328,182.78, 492,274.10 and 78,864.78

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Solution

The fourth proportional to 328,182.78, 492,274.10 and 78,864.78 is: 118,297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,182.78 : 492,274.10 = 78,864.78 : x
  2. Step 2: Convert to fraction form
    328,182.78/492,274.10 = 78,864.78/x
  3. Step 3: Cross multiply
    328,182.78x = 492,274.10 × 78,864.78
  4. Step 4: Simplify right side
    328,182.78x = 38,823,088,596.20
  5. Step 5: Solve for x
    x = 38,823,088,596.20/328,182.78
  6. Step 6: Final answer
    x = 118,297.15

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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.