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Finding the Fourth Proportional to 338,974.60, 508,475.10 and 102,317.32

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Solution

The fourth proportional to 338,974.60, 508,475.10 and 102,317.32 is: 153,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,974.60 : 508,475.10 = 102,317.32 : x
  2. Step 2: Convert to fraction form
    338,974.60/508,475.10 = 102,317.32/x
  3. Step 3: Cross multiply
    338,974.60x = 508,475.10 × 102,317.32
  4. Step 4: Simplify right side
    338,974.60x = 52,025,809,518.73
  5. Step 5: Solve for x
    x = 52,025,809,518.73/338,974.60
  6. Step 6: Final answer
    x = 153,479.96

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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.