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Finding the Fourth Proportional to 512,088.48, 706,682.88 and 285,734.52

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Solution

The fourth proportional to 512,088.48, 706,682.88 and 285,734.52 is: 394,314.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,088.48 : 706,682.88 = 285,734.52 : x
  2. Step 2: Convert to fraction form
    512,088.48/706,682.88 = 285,734.52/x
  3. Step 3: Cross multiply
    512,088.48x = 706,682.88 × 285,734.52
  4. Step 4: Simplify right side
    512,088.48x = 201,923,693,509.02
  5. Step 5: Solve for x
    x = 201,923,693,509.02/512,088.48
  6. Step 6: Final answer
    x = 394,314.07

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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.