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Finding the Fourth Proportional to 587,850, 811,238.76 and 319,583.76

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Solution

The fourth proportional to 587,850, 811,238.76 and 319,583.76 is: 441,028.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,850 : 811,238.76 = 319,583.76 : x
  2. Step 2: Convert to fraction form
    587,850/811,238.76 = 319,583.76/x
  3. Step 3: Cross multiply
    587,850x = 811,238.76 × 319,583.76
  4. Step 4: Simplify right side
    587,850x = 259,258,733,178.54
  5. Step 5: Solve for x
    x = 259,258,733,178.54/587,850
  6. Step 6: Final answer
    x = 441,028.72

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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.