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Finding the Fourth Proportional to 465,410.40, 698,461.20 and 185,128.80

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Solution

The fourth proportional to 465,410.40, 698,461.20 and 185,128.80 is: 277,830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,410.40 : 698,461.20 = 185,128.80 : x
  2. Step 2: Convert to fraction form
    465,410.40/698,461.20 = 185,128.80/x
  3. Step 3: Cross multiply
    465,410.40x = 698,461.20 × 185,128.80
  4. Step 4: Simplify right side
    465,410.40x = 129,305,283,802.56
  5. Step 5: Solve for x
    x = 129,305,283,802.56/465,410.40
  6. Step 6: Final answer
    x = 277,830.67

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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.