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Finding the Fourth Proportional to 513,709.70, 708,419.12 and 463,249.33

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Solution

The fourth proportional to 513,709.70, 708,419.12 and 463,249.33 is: 638,832.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,709.70 : 708,419.12 = 463,249.33 : x
  2. Step 2: Convert to fraction form
    513,709.70/708,419.12 = 463,249.33/x
  3. Step 3: Cross multiply
    513,709.70x = 708,419.12 × 463,249.33
  4. Step 4: Simplify right side
    513,709.70x = 328,174,678,611.90
  5. Step 5: Solve for x
    x = 328,174,678,611.90/513,709.70
  6. Step 6: Final answer
    x = 638,832.95

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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.