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Finding the Fourth Proportional to 7,243,731.60, 10,866,909.60 and 3,640,430.40

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Solution

The fourth proportional to 7,243,731.60, 10,866,909.60 and 3,640,430.40 is: 5,461,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243,731.60 : 10,866,909.60 = 3,640,430.40 : x
  2. Step 2: Convert to fraction form
    7,243,731.60/10,866,909.60 = 3,640,430.40/x
  3. Step 3: Cross multiply
    7,243,731.60x = 10,866,909.60 × 3,640,430.40
  4. Step 4: Simplify right side
    7,243,731.60x = 39,560,228,061,891.84
  5. Step 5: Solve for x
    x = 39,560,228,061,891.84/7,243,731.60
  6. Step 6: Final answer
    x = 5,461,305.06

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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.