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Finding the Fourth Proportional to 328,007.52, 492,080.34 and 185,920.86

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Solution

The fourth proportional to 328,007.52, 492,080.34 and 185,920.86 is: 278,920.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,007.52 : 492,080.34 = 185,920.86 : x
  2. Step 2: Convert to fraction form
    328,007.52/492,080.34 = 185,920.86/x
  3. Step 3: Cross multiply
    328,007.52x = 492,080.34 × 185,920.86
  4. Step 4: Simplify right side
    328,007.52x = 91,488,000,001.89
  5. Step 5: Solve for x
    x = 91,488,000,001.89/328,007.52
  6. Step 6: Final answer
    x = 278,920.43

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1.5x scale

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.