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Finding the Fourth Proportional to 6,642,762.40, 9,966,476.40 and 2,857,405.60

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Solution

The fourth proportional to 6,642,762.40, 9,966,476.40 and 2,857,405.60 is: 4,287,111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642,762.40 : 9,966,476.40 = 2,857,405.60 : x
  2. Step 2: Convert to fraction form
    6,642,762.40/9,966,476.40 = 2,857,405.60/x
  3. Step 3: Cross multiply
    6,642,762.40x = 9,966,476.40 × 2,857,405.60
  4. Step 4: Simplify right side
    6,642,762.40x = 28,478,265,477,627.84
  5. Step 5: Solve for x
    x = 28,478,265,477,627.84/6,642,762.40
  6. Step 6: Final answer
    x = 4,287,111.86

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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.