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Finding the Fourth Proportional to 383,633.78, 575,493.75 and 313,156.35

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Solution

The fourth proportional to 383,633.78, 575,493.75 and 313,156.35 is: 469,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,633.78 : 575,493.75 = 313,156.35 : x
  2. Step 2: Convert to fraction form
    383,633.78/575,493.75 = 313,156.35/x
  3. Step 3: Cross multiply
    383,633.78x = 575,493.75 × 313,156.35
  4. Step 4: Simplify right side
    383,633.78x = 180,219,522,197.81
  5. Step 5: Solve for x
    x = 180,219,522,197.81/383,633.78
  6. Step 6: Final answer
    x = 469,769.70

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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.