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Finding the Fourth Proportional to 517,636.60, 776,138.10 and 201,729.40

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Solution

The fourth proportional to 517,636.60, 776,138.10 and 201,729.40 is: 302,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,636.60 : 776,138.10 = 201,729.40 : x
  2. Step 2: Convert to fraction form
    517,636.60/776,138.10 = 201,729.40/x
  3. Step 3: Cross multiply
    517,636.60x = 776,138.10 × 201,729.40
  4. Step 4: Simplify right side
    517,636.60x = 156,569,873,230.14
  5. Step 5: Solve for x
    x = 156,569,873,230.14/517,636.60
  6. Step 6: Final answer
    x = 302,470.64

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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.