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Finding the Fourth Proportional to 540,100.16, 809,649.40 and 185,029.80

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Solution

The fourth proportional to 540,100.16, 809,649.40 and 185,029.80 is: 277,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,100.16 : 809,649.40 = 185,029.80 : x
  2. Step 2: Convert to fraction form
    540,100.16/809,649.40 = 185,029.80/x
  3. Step 3: Cross multiply
    540,100.16x = 809,649.40 × 185,029.80
  4. Step 4: Simplify right side
    540,100.16x = 149,809,266,552.12
  5. Step 5: Solve for x
    x = 149,809,266,552.12/540,100.16
  6. Step 6: Final answer
    x = 277,373.12

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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.