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Finding the Fourth Proportional to 561,395.92, 842,225.24 and 383,986.48

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Solution

The fourth proportional to 561,395.92, 842,225.24 and 383,986.48 is: 576,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,395.92 : 842,225.24 = 383,986.48 : x
  2. Step 2: Convert to fraction form
    561,395.92/842,225.24 = 383,986.48/x
  3. Step 3: Cross multiply
    561,395.92x = 842,225.24 × 383,986.48
  4. Step 4: Simplify right side
    561,395.92x = 323,403,105,274.76
  5. Step 5: Solve for x
    x = 323,403,105,274.76/561,395.92
  6. Step 6: Final answer
    x = 576,069.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.