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Finding the Fourth Proportional to 383,561.60, 575,342.40 and 313,577.60

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Solution

The fourth proportional to 383,561.60, 575,342.40 and 313,577.60 is: 470,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,561.60 : 575,342.40 = 313,577.60 : x
  2. Step 2: Convert to fraction form
    383,561.60/575,342.40 = 313,577.60/x
  3. Step 3: Cross multiply
    383,561.60x = 575,342.40 × 313,577.60
  4. Step 4: Simplify right side
    383,561.60x = 180,414,488,970.24
  5. Step 5: Solve for x
    x = 180,414,488,970.24/383,561.60
  6. Step 6: Final answer
    x = 470,366.40

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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.