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Finding the Fourth Proportional to 383,471.40, 575,206.92 and 102,988.56

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Solution

The fourth proportional to 383,471.40, 575,206.92 and 102,988.56 is: 154,482.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,471.40 : 575,206.92 = 102,988.56 : x
  2. Step 2: Convert to fraction form
    383,471.40/575,206.92 = 102,988.56/x
  3. Step 3: Cross multiply
    383,471.40x = 575,206.92 × 102,988.56
  4. Step 4: Simplify right side
    383,471.40x = 59,239,732,392.84
  5. Step 5: Solve for x
    x = 59,239,732,392.84/383,471.40
  6. Step 6: Final answer
    x = 154,482.79

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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.