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Finding the Fourth Proportional to 508,764.32, 702,059.64 and 282,392

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Solution

The fourth proportional to 508,764.32, 702,059.64 and 282,392 is: 389,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,764.32 : 702,059.64 = 282,392 : x
  2. Step 2: Convert to fraction form
    508,764.32/702,059.64 = 282,392/x
  3. Step 3: Cross multiply
    508,764.32x = 702,059.64 × 282,392
  4. Step 4: Simplify right side
    508,764.32x = 198,256,025,858.88
  5. Step 5: Solve for x
    x = 198,256,025,858.88/508,764.32
  6. Step 6: Final answer
    x = 389,681.47

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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.