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Finding the Fourth Proportional to 427,258.40, 640,945.20 and 146,861.60

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Solution

The fourth proportional to 427,258.40, 640,945.20 and 146,861.60 is: 220,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,258.40 : 640,945.20 = 146,861.60 : x
  2. Step 2: Convert to fraction form
    427,258.40/640,945.20 = 146,861.60/x
  3. Step 3: Cross multiply
    427,258.40x = 640,945.20 × 146,861.60
  4. Step 4: Simplify right side
    427,258.40x = 94,130,237,584.32
  5. Step 5: Solve for x
    x = 94,130,237,584.32/427,258.40
  6. Step 6: Final answer
    x = 220,312.20

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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.