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Finding the Fourth Proportional to 507,166.66, 699,890.04 and 280,812.16

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Solution

The fourth proportional to 507,166.66, 699,890.04 and 280,812.16 is: 387,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,166.66 : 699,890.04 = 280,812.16 : x
  2. Step 2: Convert to fraction form
    507,166.66/699,890.04 = 280,812.16/x
  3. Step 3: Cross multiply
    507,166.66x = 699,890.04 × 280,812.16
  4. Step 4: Simplify right side
    507,166.66x = 196,537,628,991.38
  5. Step 5: Solve for x
    x = 196,537,628,991.38/507,166.66
  6. Step 6: Final answer
    x = 387,520.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.