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Finding the Fourth Proportional to 521,290.59, 782,000.28 and 184,261.74

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Solution

The fourth proportional to 521,290.59, 782,000.28 and 184,261.74 is: 276,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,290.59 : 782,000.28 = 184,261.74 : x
  2. Step 2: Convert to fraction form
    521,290.59/782,000.28 = 184,261.74/x
  3. Step 3: Cross multiply
    521,290.59x = 782,000.28 × 184,261.74
  4. Step 4: Simplify right side
    521,290.59x = 144,092,732,273.29
  5. Step 5: Solve for x
    x = 144,092,732,273.29/521,290.59
  6. Step 6: Final answer
    x = 276,415.37

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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.