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Finding the Fourth Proportional to 508,764.82, 702,060.33 and 282,392.50

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Solution

The fourth proportional to 508,764.82, 702,060.33 and 282,392.50 is: 389,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,764.82 : 702,060.33 = 282,392.50 : x
  2. Step 2: Convert to fraction form
    508,764.82/702,060.33 = 282,392.50/x
  3. Step 3: Cross multiply
    508,764.82x = 702,060.33 × 282,392.50
  4. Step 4: Simplify right side
    508,764.82x = 198,256,571,739.53
  5. Step 5: Solve for x
    x = 198,256,571,739.53/508,764.82
  6. Step 6: Final answer
    x = 389,682.16

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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.