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Finding the Fourth Proportional to 508,814.88, 702,129.36 and 282,442.56

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Solution

The fourth proportional to 508,814.88, 702,129.36 and 282,442.56 is: 389,751.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,814.88 : 702,129.36 = 282,442.56 : x
  2. Step 2: Convert to fraction form
    508,814.88/702,129.36 = 282,442.56/x
  3. Step 3: Cross multiply
    508,814.88x = 702,129.36 × 282,442.56
  4. Step 4: Simplify right side
    508,814.88x = 198,311,213,889.56
  5. Step 5: Solve for x
    x = 198,311,213,889.56/508,814.88
  6. Step 6: Final answer
    x = 389,751.21

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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.