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Finding the Fourth Proportional to 517,044.60, 775,639.80 and 162,021.60

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Solution

The fourth proportional to 517,044.60, 775,639.80 and 162,021.60 is: 243,055.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,044.60 : 775,639.80 = 162,021.60 : x
  2. Step 2: Convert to fraction form
    517,044.60/775,639.80 = 162,021.60/x
  3. Step 3: Cross multiply
    517,044.60x = 775,639.80 × 162,021.60
  4. Step 4: Simplify right side
    517,044.60x = 125,670,401,419.68
  5. Step 5: Solve for x
    x = 125,670,401,419.68/517,044.60
  6. Step 6: Final answer
    x = 243,055.24

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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.