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Finding the Fourth Proportional to 561,406.80, 842,117.40 and 187,429.80

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Solution

The fourth proportional to 561,406.80, 842,117.40 and 187,429.80 is: 281,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,406.80 : 842,117.40 = 187,429.80 : x
  2. Step 2: Convert to fraction form
    561,406.80/842,117.40 = 187,429.80/x
  3. Step 3: Cross multiply
    561,406.80x = 842,117.40 × 187,429.80
  4. Step 4: Simplify right side
    561,406.80x = 157,837,895,858.52
  5. Step 5: Solve for x
    x = 157,837,895,858.52/561,406.80
  6. Step 6: Final answer
    x = 281,147.10

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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.