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Finding the Fourth Proportional to 328,686.08, 493,215.01 and 178,936.72

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Solution

The fourth proportional to 328,686.08, 493,215.01 and 178,936.72 is: 268,506.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,686.08 : 493,215.01 = 178,936.72 : x
  2. Step 2: Convert to fraction form
    328,686.08/493,215.01 = 178,936.72/x
  3. Step 3: Cross multiply
    328,686.08x = 493,215.01 × 178,936.72
  4. Step 4: Simplify right side
    328,686.08x = 88,254,274,463.79
  5. Step 5: Solve for x
    x = 88,254,274,463.79/328,686.08
  6. Step 6: Final answer
    x = 268,506.28

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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.