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Finding the Fourth Proportional to 693,141.12, 1,039,400.64 and 318,960

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Solution

The fourth proportional to 693,141.12, 1,039,400.64 and 318,960 is: 478,296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,141.12 : 1,039,400.64 = 318,960 : x
  2. Step 2: Convert to fraction form
    693,141.12/1,039,400.64 = 318,960/x
  3. Step 3: Cross multiply
    693,141.12x = 1,039,400.64 × 318,960
  4. Step 4: Simplify right side
    693,141.12x = 331,527,228,134.40
  5. Step 5: Solve for x
    x = 331,527,228,134.40/693,141.12
  6. Step 6: Final answer
    x = 478,296.87

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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.