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Finding the Fourth Proportional to 383,670.28, 575,424.78 and 103,189.96

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Solution

The fourth proportional to 383,670.28, 575,424.78 and 103,189.96 is: 154,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,670.28 : 575,424.78 = 103,189.96 : x
  2. Step 2: Convert to fraction form
    383,670.28/575,424.78 = 103,189.96/x
  3. Step 3: Cross multiply
    383,670.28x = 575,424.78 × 103,189.96
  4. Step 4: Simplify right side
    383,670.28x = 59,378,060,031.21
  5. Step 5: Solve for x
    x = 59,378,060,031.21/383,670.28
  6. Step 6: Final answer
    x = 154,763.25

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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.