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Finding the Fourth Proportional to 513,200.88, 708,188.64 and 283,744.86

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Solution

The fourth proportional to 513,200.88, 708,188.64 and 283,744.86 is: 391,552.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,200.88 : 708,188.64 = 283,744.86 : x
  2. Step 2: Convert to fraction form
    513,200.88/708,188.64 = 283,744.86/x
  3. Step 3: Cross multiply
    513,200.88x = 708,188.64 × 283,744.86
  4. Step 4: Simplify right side
    513,200.88x = 200,944,886,510.39
  5. Step 5: Solve for x
    x = 200,944,886,510.39/513,200.88
  6. Step 6: Final answer
    x = 391,552.11

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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.