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Finding the Fourth Proportional to 333,842, 500,763.64 and 81,122.72

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Solution

The fourth proportional to 333,842, 500,763.64 and 81,122.72 is: 121,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,842 : 500,763.64 = 81,122.72 : x
  2. Step 2: Convert to fraction form
    333,842/500,763.64 = 81,122.72/x
  3. Step 3: Cross multiply
    333,842x = 500,763.64 × 81,122.72
  4. Step 4: Simplify right side
    333,842x = 40,623,308,553.90
  5. Step 5: Solve for x
    x = 40,623,308,553.90/333,842
  6. Step 6: Final answer
    x = 121,684.24

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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.