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Finding the Fourth Proportional to 557,149.44, 768,870.24 and 302,500.80

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Solution

The fourth proportional to 557,149.44, 768,870.24 and 302,500.80 is: 417,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,149.44 : 768,870.24 = 302,500.80 : x
  2. Step 2: Convert to fraction form
    557,149.44/768,870.24 = 302,500.80/x
  3. Step 3: Cross multiply
    557,149.44x = 768,870.24 × 302,500.80
  4. Step 4: Simplify right side
    557,149.44x = 232,583,862,696.19
  5. Step 5: Solve for x
    x = 232,583,862,696.19/557,149.44
  6. Step 6: Final answer
    x = 417,453.28

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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.