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Finding the Fourth Proportional to 510,538.30, 704,531.19 and 319,656.94

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Solution

The fourth proportional to 510,538.30, 704,531.19 and 319,656.94 is: 441,119.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,538.30 : 704,531.19 = 319,656.94 : x
  2. Step 2: Convert to fraction form
    510,538.30/704,531.19 = 319,656.94/x
  3. Step 3: Cross multiply
    510,538.30x = 704,531.19 × 319,656.94
  4. Step 4: Simplify right side
    510,538.30x = 225,208,284,329.96
  5. Step 5: Solve for x
    x = 225,208,284,329.96/510,538.30
  6. Step 6: Final answer
    x = 441,119.27

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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.