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Finding the Fourth Proportional to 561,838.59, 842,782.50 and 162,519.75

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Solution

The fourth proportional to 561,838.59, 842,782.50 and 162,519.75 is: 243,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,838.59 : 842,782.50 = 162,519.75 : x
  2. Step 2: Convert to fraction form
    561,838.59/842,782.50 = 162,519.75/x
  3. Step 3: Cross multiply
    561,838.59x = 842,782.50 × 162,519.75
  4. Step 4: Simplify right side
    561,838.59x = 136,968,801,204.38
  5. Step 5: Solve for x
    x = 136,968,801,204.38/561,838.59
  6. Step 6: Final answer
    x = 243,786.75

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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.