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Finding the Fourth Proportional to 514,193.96, 709,499.55 and 320,662.38

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Solution

The fourth proportional to 514,193.96, 709,499.55 and 320,662.38 is: 442,459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,193.96 : 709,499.55 = 320,662.38 : x
  2. Step 2: Convert to fraction form
    514,193.96/709,499.55 = 320,662.38/x
  3. Step 3: Cross multiply
    514,193.96x = 709,499.55 × 320,662.38
  4. Step 4: Simplify right side
    514,193.96x = 227,509,814,311.93
  5. Step 5: Solve for x
    x = 227,509,814,311.93/514,193.96
  6. Step 6: Final answer
    x = 442,459.13

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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.