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Finding the Fourth Proportional to 561,646.80, 842,470.20 and 162,300.60

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Solution

The fourth proportional to 561,646.80, 842,470.20 and 162,300.60 is: 243,450.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,646.80 : 842,470.20 = 162,300.60 : x
  2. Step 2: Convert to fraction form
    561,646.80/842,470.20 = 162,300.60/x
  3. Step 3: Cross multiply
    561,646.80x = 842,470.20 × 162,300.60
  4. Step 4: Simplify right side
    561,646.80x = 136,733,418,942.12
  5. Step 5: Solve for x
    x = 136,733,418,942.12/561,646.80
  6. Step 6: Final answer
    x = 243,450.90

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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.