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Finding the Fourth Proportional to 519,847.72, 717,090.42 and 312,972.10

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Solution

The fourth proportional to 519,847.72, 717,090.42 and 312,972.10 is: 431,721.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,847.72 : 717,090.42 = 312,972.10 : x
  2. Step 2: Convert to fraction form
    519,847.72/717,090.42 = 312,972.10/x
  3. Step 3: Cross multiply
    519,847.72x = 717,090.42 × 312,972.10
  4. Step 4: Simplify right side
    519,847.72x = 224,429,296,291.37
  5. Step 5: Solve for x
    x = 224,429,296,291.37/519,847.72
  6. Step 6: Final answer
    x = 431,721.23

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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.