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Finding the Fourth Proportional to 515,468, 772,412.70 and 215,785.28

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Solution

The fourth proportional to 515,468, 772,412.70 and 215,785.28 is: 323,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,468 : 772,412.70 = 215,785.28 : x
  2. Step 2: Convert to fraction form
    515,468/772,412.70 = 215,785.28/x
  3. Step 3: Cross multiply
    515,468x = 772,412.70 × 215,785.28
  4. Step 4: Simplify right side
    515,468x = 166,675,290,745.06
  5. Step 5: Solve for x
    x = 166,675,290,745.06/515,468
  6. Step 6: Final answer
    x = 323,347.50

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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.