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Finding the Fourth Proportional to 383,764.40, 575,128.20 and 257,044.40

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Solution

The fourth proportional to 383,764.40, 575,128.20 and 257,044.40 is: 385,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,764.40 : 575,128.20 = 257,044.40 : x
  2. Step 2: Convert to fraction form
    383,764.40/575,128.20 = 257,044.40/x
  3. Step 3: Cross multiply
    383,764.40x = 575,128.20 × 257,044.40
  4. Step 4: Simplify right side
    383,764.40x = 147,833,483,092.08
  5. Step 5: Solve for x
    x = 147,833,483,092.08/383,764.40
  6. Step 6: Final answer
    x = 385,219.38

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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.