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Finding the Fourth Proportional to 310,308, 465,427.15 and 85,700.37

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Solution

The fourth proportional to 310,308, 465,427.15 and 85,700.37 is: 128,540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,308 : 465,427.15 = 85,700.37 : x
  2. Step 2: Convert to fraction form
    310,308/465,427.15 = 85,700.37/x
  3. Step 3: Cross multiply
    310,308x = 465,427.15 × 85,700.37
  4. Step 4: Simplify right side
    310,308x = 39,887,278,963.05
  5. Step 5: Solve for x
    x = 39,887,278,963.05/310,308
  6. Step 6: Final answer
    x = 128,540.93

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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.