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Finding the Fourth Proportional to 338,288.42, 507,509.49 and 113,631.62

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Solution

The fourth proportional to 338,288.42, 507,509.49 and 113,631.62 is: 170,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,288.42 : 507,509.49 = 113,631.62 : x
  2. Step 2: Convert to fraction form
    338,288.42/507,509.49 = 113,631.62/x
  3. Step 3: Cross multiply
    338,288.42x = 507,509.49 × 113,631.62
  4. Step 4: Simplify right side
    338,288.42x = 57,669,125,514.07
  5. Step 5: Solve for x
    x = 57,669,125,514.07/338,288.42
  6. Step 6: Final answer
    x = 170,473.25

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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.