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Finding the Fourth Proportional to 508,800.21, 702,116.87 and 282,431.13

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Solution

The fourth proportional to 508,800.21, 702,116.87 and 282,431.13 is: 389,739.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,800.21 : 702,116.87 = 282,431.13 : x
  2. Step 2: Convert to fraction form
    508,800.21/702,116.87 = 282,431.13/x
  3. Step 3: Cross multiply
    508,800.21x = 702,116.87 × 282,431.13
  4. Step 4: Simplify right side
    508,800.21x = 198,299,660,986.16
  5. Step 5: Solve for x
    x = 198,299,660,986.16/508,800.21
  6. Step 6: Final answer
    x = 389,739.74

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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.