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Finding the Fourth Proportional to 420,866.40, 631,040.40 and 243,285.60

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Solution

The fourth proportional to 420,866.40, 631,040.40 and 243,285.60 is: 364,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,866.40 : 631,040.40 = 243,285.60 : x
  2. Step 2: Convert to fraction form
    420,866.40/631,040.40 = 243,285.60/x
  3. Step 3: Cross multiply
    420,866.40x = 631,040.40 × 243,285.60
  4. Step 4: Simplify right side
    420,866.40x = 153,523,042,338.24
  5. Step 5: Solve for x
    x = 153,523,042,338.24/420,866.40
  6. Step 6: Final answer
    x = 364,778.57

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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.