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Finding the Fourth Proportional to 586,728, 809,685.36 and 318,456

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Solution

The fourth proportional to 586,728, 809,685.36 and 318,456 is: 439,469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,728 : 809,685.36 = 318,456 : x
  2. Step 2: Convert to fraction form
    586,728/809,685.36 = 318,456/x
  3. Step 3: Cross multiply
    586,728x = 809,685.36 × 318,456
  4. Step 4: Simplify right side
    586,728x = 257,849,161,004.16
  5. Step 5: Solve for x
    x = 257,849,161,004.16/586,728
  6. Step 6: Final answer
    x = 439,469.67

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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.