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Finding the Fourth Proportional to 518,898.83, 716,049.50 and 301,090.64

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Solution

The fourth proportional to 518,898.83, 716,049.50 and 301,090.64 is: 415,487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,898.83 : 716,049.50 = 301,090.64 : x
  2. Step 2: Convert to fraction form
    518,898.83/716,049.50 = 301,090.64/x
  3. Step 3: Cross multiply
    518,898.83x = 716,049.50 × 301,090.64
  4. Step 4: Simplify right side
    518,898.83x = 215,595,797,140.98
  5. Step 5: Solve for x
    x = 215,595,797,140.98/518,898.83
  6. Step 6: Final answer
    x = 415,487.16

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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.