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Finding the Fourth Proportional to 384,828.40, 578,020.20 and 371,609.20

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Solution

The fourth proportional to 384,828.40, 578,020.20 and 371,609.20 is: 558,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,828.40 : 578,020.20 = 371,609.20 : x
  2. Step 2: Convert to fraction form
    384,828.40/578,020.20 = 371,609.20/x
  3. Step 3: Cross multiply
    384,828.40x = 578,020.20 × 371,609.20
  4. Step 4: Simplify right side
    384,828.40x = 214,797,624,105.84
  5. Step 5: Solve for x
    x = 214,797,624,105.84/384,828.40
  6. Step 6: Final answer
    x = 558,164.69

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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.