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Finding the Fourth Proportional to 521,146.86, 781,855.07 and 305,187.96

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Solution

The fourth proportional to 521,146.86, 781,855.07 and 305,187.96 is: 457,860.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,146.86 : 781,855.07 = 305,187.96 : x
  2. Step 2: Convert to fraction form
    521,146.86/781,855.07 = 305,187.96/x
  3. Step 3: Cross multiply
    521,146.86x = 781,855.07 × 305,187.96
  4. Step 4: Simplify right side
    521,146.86x = 238,612,748,393.74
  5. Step 5: Solve for x
    x = 238,612,748,393.74/521,146.86
  6. Step 6: Final answer
    x = 457,860.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.