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Finding the Fourth Proportional to 471,940.80, 706,744.80 and 313,310.40

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Solution

The fourth proportional to 471,940.80, 706,744.80 and 313,310.40 is: 469,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,940.80 : 706,744.80 = 313,310.40 : x
  2. Step 2: Convert to fraction form
    471,940.80/706,744.80 = 313,310.40/x
  3. Step 3: Cross multiply
    471,940.80x = 706,744.80 × 313,310.40
  4. Step 4: Simplify right side
    471,940.80x = 221,430,495,985.92
  5. Step 5: Solve for x
    x = 221,430,495,985.92/471,940.80
  6. Step 6: Final answer
    x = 469,191.25

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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.