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Finding the Fourth Proportional to 307,750.40, 461,690.40 and 97,409.60

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Solution

The fourth proportional to 307,750.40, 461,690.40 and 97,409.60 is: 146,134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,750.40 : 461,690.40 = 97,409.60 : x
  2. Step 2: Convert to fraction form
    307,750.40/461,690.40 = 97,409.60/x
  3. Step 3: Cross multiply
    307,750.40x = 461,690.40 × 97,409.60
  4. Step 4: Simplify right side
    307,750.40x = 44,973,077,187.84
  5. Step 5: Solve for x
    x = 44,973,077,187.84/307,750.40
  6. Step 6: Final answer
    x = 146,134.91

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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.