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Finding the Fourth Proportional to 338,133.40, 507,215.68 and 188,260.86

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Solution

The fourth proportional to 338,133.40, 507,215.68 and 188,260.86 is: 282,399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,133.40 : 507,215.68 = 188,260.86 : x
  2. Step 2: Convert to fraction form
    338,133.40/507,215.68 = 188,260.86/x
  3. Step 3: Cross multiply
    338,133.40x = 507,215.68 × 188,260.86
  4. Step 4: Simplify right side
    338,133.40x = 95,488,860,122.28
  5. Step 5: Solve for x
    x = 95,488,860,122.28/338,133.40
  6. Step 6: Final answer
    x = 282,399.96

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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.