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Finding the Fourth Proportional to 383,642.80, 575,464.20 and 304,327.60

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Solution

The fourth proportional to 383,642.80, 575,464.20 and 304,327.60 is: 456,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,642.80 : 575,464.20 = 304,327.60 : x
  2. Step 2: Convert to fraction form
    383,642.80/575,464.20 = 304,327.60/x
  3. Step 3: Cross multiply
    383,642.80x = 575,464.20 × 304,327.60
  4. Step 4: Simplify right side
    383,642.80x = 175,129,638,871.92
  5. Step 5: Solve for x
    x = 175,129,638,871.92/383,642.80
  6. Step 6: Final answer
    x = 456,491.40

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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.