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Finding the Fourth Proportional to 561,830.95, 842,771.04 and 162,512.09

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Solution

The fourth proportional to 561,830.95, 842,771.04 and 162,512.09 is: 243,775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,830.95 : 842,771.04 = 162,512.09 : x
  2. Step 2: Convert to fraction form
    561,830.95/842,771.04 = 162,512.09/x
  3. Step 3: Cross multiply
    561,830.95x = 842,771.04 × 162,512.09
  4. Step 4: Simplify right side
    561,830.95x = 136,960,483,101.87
  5. Step 5: Solve for x
    x = 136,960,483,101.87/561,830.95
  6. Step 6: Final answer
    x = 243,775.25

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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.