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Finding the Fourth Proportional to 540,303.88, 809,731.38 and 420,505.49

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Solution

The fourth proportional to 540,303.88, 809,731.38 and 420,505.49 is: 630,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,303.88 : 809,731.38 = 420,505.49 : x
  2. Step 2: Convert to fraction form
    540,303.88/809,731.38 = 420,505.49/x
  3. Step 3: Cross multiply
    540,303.88x = 809,731.38 × 420,505.49
  4. Step 4: Simplify right side
    540,303.88x = 340,496,490,715.28
  5. Step 5: Solve for x
    x = 340,496,490,715.28/540,303.88
  6. Step 6: Final answer
    x = 630,194.42

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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.