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Finding the Fourth Proportional to 510,039.66, 765,031.81 and 155,026

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Solution

The fourth proportional to 510,039.66, 765,031.81 and 155,026 is: 232,530.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,039.66 : 765,031.81 = 155,026 : x
  2. Step 2: Convert to fraction form
    510,039.66/765,031.81 = 155,026/x
  3. Step 3: Cross multiply
    510,039.66x = 765,031.81 × 155,026
  4. Step 4: Simplify right side
    510,039.66x = 118,599,821,377.06
  5. Step 5: Solve for x
    x = 118,599,821,377.06/510,039.66
  6. Step 6: Final answer
    x = 232,530.59

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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.