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Finding the Fourth Proportional to 437,476, 603,979.32 and 286,835.44

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Solution

The fourth proportional to 437,476, 603,979.32 and 286,835.44 is: 396,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,476 : 603,979.32 = 286,835.44 : x
  2. Step 2: Convert to fraction form
    437,476/603,979.32 = 286,835.44/x
  3. Step 3: Cross multiply
    437,476x = 603,979.32 × 286,835.44
  4. Step 4: Simplify right side
    437,476x = 173,242,674,003.10
  5. Step 5: Solve for x
    x = 173,242,674,003.10/437,476
  6. Step 6: Final answer
    x = 396,004.98

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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.