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Finding the Fourth Proportional to 328,747.40, 493,121.10 and 188,779.40

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Solution

The fourth proportional to 328,747.40, 493,121.10 and 188,779.40 is: 283,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,747.40 : 493,121.10 = 188,779.40 : x
  2. Step 2: Convert to fraction form
    328,747.40/493,121.10 = 188,779.40/x
  3. Step 3: Cross multiply
    328,747.40x = 493,121.10 × 188,779.40
  4. Step 4: Simplify right side
    328,747.40x = 93,091,105,385.34
  5. Step 5: Solve for x
    x = 93,091,105,385.34/328,747.40
  6. Step 6: Final answer
    x = 283,169.10

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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.