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Finding the Fourth Proportional to 338,662.40, 507,977.40 and 114,000.80

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Solution

The fourth proportional to 338,662.40, 507,977.40 and 114,000.80 is: 170,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,662.40 : 507,977.40 = 114,000.80 : x
  2. Step 2: Convert to fraction form
    338,662.40/507,977.40 = 114,000.80/x
  3. Step 3: Cross multiply
    338,662.40x = 507,977.40 × 114,000.80
  4. Step 4: Simplify right side
    338,662.40x = 57,909,829,981.92
  5. Step 5: Solve for x
    x = 57,909,829,981.92/338,662.40
  6. Step 6: Final answer
    x = 170,995.75

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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.