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Finding the Fourth Proportional to 299,303.17, 413,047.09 and 163,345.87

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Solution

The fourth proportional to 299,303.17, 413,047.09 and 163,345.87 is: 225,422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,303.17 : 413,047.09 = 163,345.87 : x
  2. Step 2: Convert to fraction form
    299,303.17/413,047.09 = 163,345.87/x
  3. Step 3: Cross multiply
    299,303.17x = 413,047.09 × 163,345.87
  4. Step 4: Simplify right side
    299,303.17x = 67,469,536,267.02
  5. Step 5: Solve for x
    x = 67,469,536,267.02/299,303.17
  6. Step 6: Final answer
    x = 225,422.06

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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.