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Finding the Fourth Proportional to 402,494.40, 603,741.60 and 122,011.56

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Solution

The fourth proportional to 402,494.40, 603,741.60 and 122,011.56 is: 183,017.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,494.40 : 603,741.60 = 122,011.56 : x
  2. Step 2: Convert to fraction form
    402,494.40/603,741.60 = 122,011.56/x
  3. Step 3: Cross multiply
    402,494.40x = 603,741.60 × 122,011.56
  4. Step 4: Simplify right side
    402,494.40x = 73,663,454,452.90
  5. Step 5: Solve for x
    x = 73,663,454,452.90/402,494.40
  6. Step 6: Final answer
    x = 183,017.34

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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.