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Finding the Fourth Proportional to 310,617.63, 465,927.09 and 85,978.71

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Solution

The fourth proportional to 310,617.63, 465,927.09 and 85,978.71 is: 128,968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,617.63 : 465,927.09 = 85,978.71 : x
  2. Step 2: Convert to fraction form
    310,617.63/465,927.09 = 85,978.71/x
  3. Step 3: Cross multiply
    310,617.63x = 465,927.09 × 85,978.71
  4. Step 4: Simplify right side
    310,617.63x = 40,059,810,152.25
  5. Step 5: Solve for x
    x = 40,059,810,152.25/310,617.63
  6. Step 6: Final answer
    x = 128,968.24

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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.