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Finding the Fourth Proportional to 338,325, 507,495.72 and 113,688.68

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Solution

The fourth proportional to 338,325, 507,495.72 and 113,688.68 is: 170,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,325 : 507,495.72 = 113,688.68 : x
  2. Step 2: Convert to fraction form
    338,325/507,495.72 = 113,688.68/x
  3. Step 3: Cross multiply
    338,325x = 507,495.72 × 113,688.68
  4. Step 4: Simplify right side
    338,325x = 57,696,518,512.45
  5. Step 5: Solve for x
    x = 57,696,518,512.45/338,325
  6. Step 6: Final answer
    x = 170,535.78

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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.