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Finding the Fourth Proportional to 413,544.10, 620,402.55 and 133,089.70

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Solution

The fourth proportional to 413,544.10, 620,402.55 and 133,089.70 is: 199,662.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,544.10 : 620,402.55 = 133,089.70 : x
  2. Step 2: Convert to fraction form
    413,544.10/620,402.55 = 133,089.70/x
  3. Step 3: Cross multiply
    413,544.10x = 620,402.55 × 133,089.70
  4. Step 4: Simplify right side
    413,544.10x = 82,569,189,258.74
  5. Step 5: Solve for x
    x = 82,569,189,258.74/413,544.10
  6. Step 6: Final answer
    x = 199,662.36

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1.5x scale

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.