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Finding the Fourth Proportional to 513,327.86, 708,388.30 and 283,894.81

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Solution

The fourth proportional to 513,327.86, 708,388.30 and 283,894.81 is: 391,772.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,327.86 : 708,388.30 = 283,894.81 : x
  2. Step 2: Convert to fraction form
    513,327.86/708,388.30 = 283,894.81/x
  3. Step 3: Cross multiply
    513,327.86x = 708,388.30 × 283,894.81
  4. Step 4: Simplify right side
    513,327.86x = 201,107,761,834.72
  5. Step 5: Solve for x
    x = 201,107,761,834.72/513,327.86
  6. Step 6: Final answer
    x = 391,772.55

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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.