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Finding the Fourth Proportional to 872,384.80, 1,307,605.20 and 339,728.80

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Solution

The fourth proportional to 872,384.80, 1,307,605.20 and 339,728.80 is: 509,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,384.80 : 1,307,605.20 = 339,728.80 : x
  2. Step 2: Convert to fraction form
    872,384.80/1,307,605.20 = 339,728.80/x
  3. Step 3: Cross multiply
    872,384.80x = 1,307,605.20 × 339,728.80
  4. Step 4: Simplify right side
    872,384.80x = 444,231,145,469.76
  5. Step 5: Solve for x
    x = 444,231,145,469.76/872,384.80
  6. Step 6: Final answer
    x = 509,214.68

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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.