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Finding the Fourth Proportional to 420,455.75, 630,928.40 and 177,281.57

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Solution

The fourth proportional to 420,455.75, 630,928.40 and 177,281.57 is: 266,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,455.75 : 630,928.40 = 177,281.57 : x
  2. Step 2: Convert to fraction form
    420,455.75/630,928.40 = 177,281.57/x
  3. Step 3: Cross multiply
    420,455.75x = 630,928.40 × 177,281.57
  4. Step 4: Simplify right side
    420,455.75x = 111,851,977,309.59
  5. Step 5: Solve for x
    x = 111,851,977,309.59/420,455.75
  6. Step 6: Final answer
    x = 266,025.56

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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.