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Finding the Fourth Proportional to 513,208.88, 708,199.68 and 283,752.86

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Solution

The fourth proportional to 513,208.88, 708,199.68 and 283,752.86 is: 391,563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,208.88 : 708,199.68 = 283,752.86 : x
  2. Step 2: Convert to fraction form
    513,208.88/708,199.68 = 283,752.86/x
  3. Step 3: Cross multiply
    513,208.88x = 708,199.68 × 283,752.86
  4. Step 4: Simplify right side
    513,208.88x = 200,953,684,651.09
  5. Step 5: Solve for x
    x = 200,953,684,651.09/513,208.88
  6. Step 6: Final answer
    x = 391,563.15

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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.