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Finding the Fourth Proportional to 382,953.49, 574,498.78 and 130,220.87

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Solution

The fourth proportional to 382,953.49, 574,498.78 and 130,220.87 is: 195,354.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,953.49 : 574,498.78 = 130,220.87 : x
  2. Step 2: Convert to fraction form
    382,953.49/574,498.78 = 130,220.87/x
  3. Step 3: Cross multiply
    382,953.49x = 574,498.78 × 130,220.87
  4. Step 4: Simplify right side
    382,953.49x = 74,811,727,747.49
  5. Step 5: Solve for x
    x = 74,811,727,747.49/382,953.49
  6. Step 6: Final answer
    x = 195,354.61

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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.