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Finding the Fourth Proportional to 508,761.82, 702,056.19 and 282,389.50

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Solution

The fourth proportional to 508,761.82, 702,056.19 and 282,389.50 is: 389,678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,761.82 : 702,056.19 = 282,389.50 : x
  2. Step 2: Convert to fraction form
    508,761.82/702,056.19 = 282,389.50/x
  3. Step 3: Cross multiply
    508,761.82x = 702,056.19 × 282,389.50
  4. Step 4: Simplify right side
    508,761.82x = 198,253,296,466.01
  5. Step 5: Solve for x
    x = 198,253,296,466.01/508,761.82
  6. Step 6: Final answer
    x = 389,678.02

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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.