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Finding the Fourth Proportional to 552,151.26, 761,967.81 and 310,434.30

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Solution

The fourth proportional to 552,151.26, 761,967.81 and 310,434.30 is: 428,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,151.26 : 761,967.81 = 310,434.30 : x
  2. Step 2: Convert to fraction form
    552,151.26/761,967.81 = 310,434.30/x
  3. Step 3: Cross multiply
    552,151.26x = 761,967.81 × 310,434.30
  4. Step 4: Simplify right side
    552,151.26x = 236,540,943,719.88
  5. Step 5: Solve for x
    x = 236,540,943,719.88/552,151.26
  6. Step 6: Final answer
    x = 428,398.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.