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Finding the Fourth Proportional to 360,964.32, 496,989.48 and 317,913.36

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Solution

The fourth proportional to 360,964.32, 496,989.48 and 317,913.36 is: 437,715.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,964.32 : 496,989.48 = 317,913.36 : x
  2. Step 2: Convert to fraction form
    360,964.32/496,989.48 = 317,913.36/x
  3. Step 3: Cross multiply
    360,964.32x = 496,989.48 × 317,913.36
  4. Step 4: Simplify right side
    360,964.32x = 157,999,595,471.45
  5. Step 5: Solve for x
    x = 157,999,595,471.45/360,964.32
  6. Step 6: Final answer
    x = 437,715.27

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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.