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Finding the Fourth Proportional to 307,615.40, 461,167.10 and 130,258.60

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Solution

The fourth proportional to 307,615.40, 461,167.10 and 130,258.60 is: 195,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,615.40 : 461,167.10 = 130,258.60 : x
  2. Step 2: Convert to fraction form
    307,615.40/461,167.10 = 130,258.60/x
  3. Step 3: Cross multiply
    307,615.40x = 461,167.10 × 130,258.60
  4. Step 4: Simplify right side
    307,615.40x = 60,070,980,812.06
  5. Step 5: Solve for x
    x = 60,070,980,812.06/307,615.40
  6. Step 6: Final answer
    x = 195,279.50

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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.