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Finding the Fourth Proportional to 383,730.86, 575,648.76 and 130,943.36

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Solution

The fourth proportional to 383,730.86, 575,648.76 and 130,943.36 is: 196,432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,730.86 : 575,648.76 = 130,943.36 : x
  2. Step 2: Convert to fraction form
    383,730.86/575,648.76 = 130,943.36/x
  3. Step 3: Cross multiply
    383,730.86x = 575,648.76 × 130,943.36
  4. Step 4: Simplify right side
    383,730.86x = 75,377,382,814.23
  5. Step 5: Solve for x
    x = 75,377,382,814.23/383,730.86
  6. Step 6: Final answer
    x = 196,432.94

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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.