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Finding the Fourth Proportional to 383,377.32, 575,065.90 and 102,894.57

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Solution

The fourth proportional to 383,377.32, 575,065.90 and 102,894.57 is: 154,341.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,377.32 : 575,065.90 = 102,894.57 : x
  2. Step 2: Convert to fraction form
    383,377.32/575,065.90 = 102,894.57/x
  3. Step 3: Cross multiply
    383,377.32x = 575,065.90 × 102,894.57
  4. Step 4: Simplify right side
    383,377.32x = 59,171,158,502.16
  5. Step 5: Solve for x
    x = 59,171,158,502.16/383,377.32
  6. Step 6: Final answer
    x = 154,341.83

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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.