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Finding the Fourth Proportional to 829,969.80, 1,242,986.40 and 829,969.80

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Solution

The fourth proportional to 829,969.80, 1,242,986.40 and 829,969.80 is: 1,242,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,969.80 : 1,242,986.40 = 829,969.80 : x
  2. Step 2: Convert to fraction form
    829,969.80/1,242,986.40 = 829,969.80/x
  3. Step 3: Cross multiply
    829,969.80x = 1,242,986.40 × 829,969.80
  4. Step 4: Simplify right side
    829,969.80x = 1,031,641,173,810.72
  5. Step 5: Solve for x
    x = 1,031,641,173,810.72/829,969.80
  6. Step 6: Final answer
    x = 1,242,986.40

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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.