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Finding the Fourth Proportional to 575,743.87, 864,364.16 and 442,717.54

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Solution

The fourth proportional to 575,743.87, 864,364.16 and 442,717.54 is: 664,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,743.87 : 864,364.16 = 442,717.54 : x
  2. Step 2: Convert to fraction form
    575,743.87/864,364.16 = 442,717.54/x
  3. Step 3: Cross multiply
    575,743.87x = 864,364.16 × 442,717.54
  4. Step 4: Simplify right side
    575,743.87x = 382,669,174,579.37
  5. Step 5: Solve for x
    x = 382,669,174,579.37/575,743.87
  6. Step 6: Final answer
    x = 664,651.76

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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.