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Finding the Fourth Proportional to 310,539.83, 465,809.64 and 100,177.76

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Solution

The fourth proportional to 310,539.83, 465,809.64 and 100,177.76 is: 150,266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,539.83 : 465,809.64 = 100,177.76 : x
  2. Step 2: Convert to fraction form
    310,539.83/465,809.64 = 100,177.76/x
  3. Step 3: Cross multiply
    310,539.83x = 465,809.64 × 100,177.76
  4. Step 4: Simplify right side
    310,539.83x = 46,663,767,110.46
  5. Step 5: Solve for x
    x = 46,663,767,110.46/310,539.83
  6. Step 6: Final answer
    x = 150,266.61

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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.