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Finding the Fourth Proportional to 510,462.36, 765,693.63 and 210,613.50

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Solution

The fourth proportional to 510,462.36, 765,693.63 and 210,613.50 is: 315,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,462.36 : 765,693.63 = 210,613.50 : x
  2. Step 2: Convert to fraction form
    510,462.36/765,693.63 = 210,613.50/x
  3. Step 3: Cross multiply
    510,462.36x = 765,693.63 × 210,613.50
  4. Step 4: Simplify right side
    510,462.36x = 161,265,415,342.01
  5. Step 5: Solve for x
    x = 161,265,415,342.01/510,462.36
  6. Step 6: Final answer
    x = 315,920.29

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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.