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Finding the Fourth Proportional to 508,817.27, 702,086.05 and 293,985.83

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Solution

The fourth proportional to 508,817.27, 702,086.05 and 293,985.83 is: 405,653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,817.27 : 702,086.05 = 293,985.83 : x
  2. Step 2: Convert to fraction form
    508,817.27/702,086.05 = 293,985.83/x
  3. Step 3: Cross multiply
    508,817.27x = 702,086.05 × 293,985.83
  4. Step 4: Simplify right side
    508,817.27x = 206,403,350,140.67
  5. Step 5: Solve for x
    x = 206,403,350,140.67/508,817.27
  6. Step 6: Final answer
    x = 405,653.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.