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Finding the Fourth Proportional to 513,760, 708,520.48 and 441,140.10

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Solution

The fourth proportional to 513,760, 708,520.48 and 441,140.10 is: 608,371.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,760 : 708,520.48 = 441,140.10 : x
  2. Step 2: Convert to fraction form
    513,760/708,520.48 = 441,140.10/x
  3. Step 3: Cross multiply
    513,760x = 708,520.48 × 441,140.10
  4. Step 4: Simplify right side
    513,760x = 312,556,795,399.25
  5. Step 5: Solve for x
    x = 312,556,795,399.25/513,760
  6. Step 6: Final answer
    x = 608,371.21

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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.