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Finding the Fourth Proportional to 661,709.40, 993,485.70 and 412,877.40

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Solution

The fourth proportional to 661,709.40, 993,485.70 and 412,877.40 is: 619,891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,709.40 : 993,485.70 = 412,877.40 : x
  2. Step 2: Convert to fraction form
    661,709.40/993,485.70 = 412,877.40/x
  3. Step 3: Cross multiply
    661,709.40x = 993,485.70 × 412,877.40
  4. Step 4: Simplify right side
    661,709.40x = 410,187,792,753.18
  5. Step 5: Solve for x
    x = 410,187,792,753.18/661,709.40
  6. Step 6: Final answer
    x = 619,891.14

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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.