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Finding the Fourth Proportional to 402,454.20, 603,462.60 and 136,077.60

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Solution

The fourth proportional to 402,454.20, 603,462.60 and 136,077.60 is: 204,042.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,454.20 : 603,462.60 = 136,077.60 : x
  2. Step 2: Convert to fraction form
    402,454.20/603,462.60 = 136,077.60/x
  3. Step 3: Cross multiply
    402,454.20x = 603,462.60 × 136,077.60
  4. Step 4: Simplify right side
    402,454.20x = 82,117,742,297.76
  5. Step 5: Solve for x
    x = 82,117,742,297.76/402,454.20
  6. Step 6: Final answer
    x = 204,042.45

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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.