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Finding the Fourth Proportional to 856,978.24, 1,182,609.84 and 494,402.88

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Solution

The fourth proportional to 856,978.24, 1,182,609.84 and 494,402.88 is: 682,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,978.24 : 1,182,609.84 = 494,402.88 : x
  2. Step 2: Convert to fraction form
    856,978.24/1,182,609.84 = 494,402.88/x
  3. Step 3: Cross multiply
    856,978.24x = 1,182,609.84 × 494,402.88
  4. Step 4: Simplify right side
    856,978.24x = 584,685,710,812.34
  5. Step 5: Solve for x
    x = 584,685,710,812.34/856,978.24
  6. Step 6: Final answer
    x = 682,264.36

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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.