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Finding the Fourth Proportional to 523,167.60, 721,924.20 and 305,395.17

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Solution

The fourth proportional to 523,167.60, 721,924.20 and 305,395.17 is: 421,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,167.60 : 721,924.20 = 305,395.17 : x
  2. Step 2: Convert to fraction form
    523,167.60/721,924.20 = 305,395.17/x
  3. Step 3: Cross multiply
    523,167.60x = 721,924.20 × 305,395.17
  4. Step 4: Simplify right side
    523,167.60x = 220,472,163,786.11
  5. Step 5: Solve for x
    x = 220,472,163,786.11/523,167.60
  6. Step 6: Final answer
    x = 421,417.85

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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.