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Finding the Fourth Proportional to 510,588.83, 765,912.04 and 155,614.43

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Solution

The fourth proportional to 510,588.83, 765,912.04 and 155,614.43 is: 233,430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,588.83 : 765,912.04 = 155,614.43 : x
  2. Step 2: Convert to fraction form
    510,588.83/765,912.04 = 155,614.43/x
  3. Step 3: Cross multiply
    510,588.83x = 765,912.04 × 155,614.43
  4. Step 4: Simplify right side
    510,588.83x = 119,186,961,316.14
  5. Step 5: Solve for x
    x = 119,186,961,316.14/510,588.83
  6. Step 6: Final answer
    x = 233,430.42

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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.