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Finding the Fourth Proportional to 513,914.52, 709,193.44 and 284,466.88

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Solution

The fourth proportional to 513,914.52, 709,193.44 and 284,466.88 is: 392,559.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,914.52 : 709,193.44 = 284,466.88 : x
  2. Step 2: Convert to fraction form
    513,914.52/709,193.44 = 284,466.88/x
  3. Step 3: Cross multiply
    513,914.52x = 709,193.44 × 284,466.88
  4. Step 4: Simplify right side
    513,914.52x = 201,742,043,420.28
  5. Step 5: Solve for x
    x = 201,742,043,420.28/513,914.52
  6. Step 6: Final answer
    x = 392,559.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.