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Finding the Fourth Proportional to 508,764.75, 702,095.36 and 282,431.31

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Solution

The fourth proportional to 508,764.75, 702,095.36 and 282,431.31 is: 389,755.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,764.75 : 702,095.36 = 282,431.31 : x
  2. Step 2: Convert to fraction form
    508,764.75/702,095.36 = 282,431.31/x
  3. Step 3: Cross multiply
    508,764.75x = 702,095.36 × 282,431.31
  4. Step 4: Simplify right side
    508,764.75x = 198,293,710,857.57
  5. Step 5: Solve for x
    x = 198,293,710,857.57/508,764.75
  6. Step 6: Final answer
    x = 389,755.21

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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.