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Finding the Fourth Proportional to 418,708.02, 628,269.78 and 165,983.16

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Solution

The fourth proportional to 418,708.02, 628,269.78 and 165,983.16 is: 249,057.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,708.02 : 628,269.78 = 165,983.16 : x
  2. Step 2: Convert to fraction form
    418,708.02/628,269.78 = 165,983.16/x
  3. Step 3: Cross multiply
    418,708.02x = 628,269.78 × 165,983.16
  4. Step 4: Simplify right side
    418,708.02x = 104,282,203,416.91
  5. Step 5: Solve for x
    x = 104,282,203,416.91/418,708.02
  6. Step 6: Final answer
    x = 249,057.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.