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Finding the Fourth Proportional to 307,878.40, 461,817.60 and 288,049.60

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Solution

The fourth proportional to 307,878.40, 461,817.60 and 288,049.60 is: 432,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,878.40 : 461,817.60 = 288,049.60 : x
  2. Step 2: Convert to fraction form
    307,878.40/461,817.60 = 288,049.60/x
  3. Step 3: Cross multiply
    307,878.40x = 461,817.60 × 288,049.60
  4. Step 4: Simplify right side
    307,878.40x = 133,026,374,952.96
  5. Step 5: Solve for x
    x = 133,026,374,952.96/307,878.40
  6. Step 6: Final answer
    x = 432,074.40

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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.