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Finding the Fourth Proportional to 510,538.80, 704,531.88 and 319,657.44

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Solution

The fourth proportional to 510,538.80, 704,531.88 and 319,657.44 is: 441,119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,538.80 : 704,531.88 = 319,657.44 : x
  2. Step 2: Convert to fraction form
    510,538.80/704,531.88 = 319,657.44/x
  3. Step 3: Cross multiply
    510,538.80x = 704,531.88 × 319,657.44
  4. Step 4: Simplify right side
    510,538.80x = 225,208,857,159.19
  5. Step 5: Solve for x
    x = 225,208,857,159.19/510,538.80
  6. Step 6: Final answer
    x = 441,119.96

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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.