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Finding the Fourth Proportional to 508,764.20, 702,059.47 and 282,391.88

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Solution

The fourth proportional to 508,764.20, 702,059.47 and 282,391.88 is: 389,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,764.20 : 702,059.47 = 282,391.88 : x
  2. Step 2: Convert to fraction form
    508,764.20/702,059.47 = 282,391.88/x
  3. Step 3: Cross multiply
    508,764.20x = 702,059.47 × 282,391.88
  4. Step 4: Simplify right side
    508,764.20x = 198,255,889,388.83
  5. Step 5: Solve for x
    x = 198,255,889,388.83/508,764.20
  6. Step 6: Final answer
    x = 389,681.29

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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.