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Finding the Fourth Proportional to 521,952.66, 782,736.93 and 180,309.17

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Solution

The fourth proportional to 521,952.66, 782,736.93 and 180,309.17 is: 270,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,952.66 : 782,736.93 = 180,309.17 : x
  2. Step 2: Convert to fraction form
    521,952.66/782,736.93 = 180,309.17/x
  3. Step 3: Cross multiply
    521,952.66x = 782,736.93 × 180,309.17
  4. Step 4: Simplify right side
    521,952.66x = 141,134,648,133.49
  5. Step 5: Solve for x
    x = 141,134,648,133.49/521,952.66
  6. Step 6: Final answer
    x = 270,397.41

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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.