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Finding the Fourth Proportional to 561,406.19, 842,442.80 and 206,669.34

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Solution

The fourth proportional to 561,406.19, 842,442.80 and 206,669.34 is: 310,126.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,406.19 : 842,442.80 = 206,669.34 : x
  2. Step 2: Convert to fraction form
    561,406.19/842,442.80 = 206,669.34/x
  3. Step 3: Cross multiply
    561,406.19x = 842,442.80 × 206,669.34
  4. Step 4: Simplify right side
    561,406.19x = 174,107,096,430.41
  5. Step 5: Solve for x
    x = 174,107,096,430.41/561,406.19
  6. Step 6: Final answer
    x = 310,126.79

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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.