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Finding the Fourth Proportional to 310,588.24, 465,892.71 and 85,929.85

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Solution

The fourth proportional to 310,588.24, 465,892.71 and 85,929.85 is: 128,897.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,588.24 : 465,892.71 = 85,929.85 : x
  2. Step 2: Convert to fraction form
    310,588.24/465,892.71 = 85,929.85/x
  3. Step 3: Cross multiply
    310,588.24x = 465,892.71 × 85,929.85
  4. Step 4: Simplify right side
    310,588.24x = 40,034,090,686.39
  5. Step 5: Solve for x
    x = 40,034,090,686.39/310,588.24
  6. Step 6: Final answer
    x = 128,897.64

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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.