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Finding the Fourth Proportional to 661,993.10, 991,969.05 and 492,719.30

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Solution

The fourth proportional to 661,993.10, 991,969.05 and 492,719.30 is: 738,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,993.10 : 991,969.05 = 492,719.30 : x
  2. Step 2: Convert to fraction form
    661,993.10/991,969.05 = 492,719.30/x
  3. Step 3: Cross multiply
    661,993.10x = 991,969.05 × 492,719.30
  4. Step 4: Simplify right side
    661,993.10x = 488,762,295,937.67
  5. Step 5: Solve for x
    x = 488,762,295,937.67/661,993.10
  6. Step 6: Final answer
    x = 738,319.32

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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.