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Finding the Fourth Proportional to 318,513.76, 476,720.56 and 176,140

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Solution

The fourth proportional to 318,513.76, 476,720.56 and 176,140 is: 263,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,513.76 : 476,720.56 = 176,140 : x
  2. Step 2: Convert to fraction form
    318,513.76/476,720.56 = 176,140/x
  3. Step 3: Cross multiply
    318,513.76x = 476,720.56 × 176,140
  4. Step 4: Simplify right side
    318,513.76x = 83,969,559,438.40
  5. Step 5: Solve for x
    x = 83,969,559,438.40/318,513.76
  6. Step 6: Final answer
    x = 263,629.30

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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.