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Finding the Fourth Proportional to 510,018, 765,114.48 and 155,067.92

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Solution

The fourth proportional to 510,018, 765,114.48 and 155,067.92 is: 232,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,018 : 765,114.48 = 155,067.92 : x
  2. Step 2: Convert to fraction form
    510,018/765,114.48 = 155,067.92/x
  3. Step 3: Cross multiply
    510,018x = 765,114.48 × 155,067.92
  4. Step 4: Simplify right side
    510,018x = 118,644,710,975.48
  5. Step 5: Solve for x
    x = 118,644,710,975.48/510,018
  6. Step 6: Final answer
    x = 232,628.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.