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Finding the Fourth Proportional to 341,986.80, 512,980.20 and 314,430.60

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Solution

The fourth proportional to 341,986.80, 512,980.20 and 314,430.60 is: 471,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,986.80 : 512,980.20 = 314,430.60 : x
  2. Step 2: Convert to fraction form
    341,986.80/512,980.20 = 314,430.60/x
  3. Step 3: Cross multiply
    341,986.80x = 512,980.20 × 314,430.60
  4. Step 4: Simplify right side
    341,986.80x = 161,296,672,074.12
  5. Step 5: Solve for x
    x = 161,296,672,074.12/341,986.80
  6. Step 6: Final answer
    x = 471,645.90

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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.