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Finding the Fourth Proportional to 502,015.19, 692,524.28 and 320,536.31

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Solution

The fourth proportional to 502,015.19, 692,524.28 and 320,536.31 is: 442,176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,015.19 : 692,524.28 = 320,536.31 : x
  2. Step 2: Convert to fraction form
    502,015.19/692,524.28 = 320,536.31/x
  3. Step 3: Cross multiply
    502,015.19x = 692,524.28 × 320,536.31
  4. Step 4: Simplify right side
    502,015.19x = 221,979,174,635.33
  5. Step 5: Solve for x
    x = 221,979,174,635.33/502,015.19
  6. Step 6: Final answer
    x = 442,176.22

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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.