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Finding the Fourth Proportional to 480,114, 662,558.40 and 289,135.44

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Solution

The fourth proportional to 480,114, 662,558.40 and 289,135.44 is: 399,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,114 : 662,558.40 = 289,135.44 : x
  2. Step 2: Convert to fraction form
    480,114/662,558.40 = 289,135.44/x
  3. Step 3: Cross multiply
    480,114x = 662,558.40 × 289,135.44
  4. Step 4: Simplify right side
    480,114x = 191,569,114,509.70
  5. Step 5: Solve for x
    x = 191,569,114,509.70/480,114
  6. Step 6: Final answer
    x = 399,007.56

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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.