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Finding the Fourth Proportional to 510,778.78, 704,536.98 and 319,460.02

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Solution

The fourth proportional to 510,778.78, 704,536.98 and 319,460.02 is: 440,643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,778.78 : 704,536.98 = 319,460.02 : x
  2. Step 2: Convert to fraction form
    510,778.78/704,536.98 = 319,460.02/x
  3. Step 3: Cross multiply
    510,778.78x = 704,536.98 × 319,460.02
  4. Step 4: Simplify right side
    510,778.78x = 225,071,397,721.54
  5. Step 5: Solve for x
    x = 225,071,397,721.54/510,778.78
  6. Step 6: Final answer
    x = 440,643.59

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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.