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Finding the Fourth Proportional to 510,009.72, 765,039.54 and 194,407.80

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Solution

The fourth proportional to 510,009.72, 765,039.54 and 194,407.80 is: 291,621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,009.72 : 765,039.54 = 194,407.80 : x
  2. Step 2: Convert to fraction form
    510,009.72/765,039.54 = 194,407.80/x
  3. Step 3: Cross multiply
    510,009.72x = 765,039.54 × 194,407.80
  4. Step 4: Simplify right side
    510,009.72x = 148,729,653,884.41
  5. Step 5: Solve for x
    x = 148,729,653,884.41/510,009.72
  6. Step 6: Final answer
    x = 291,621.21

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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.