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Finding the Fourth Proportional to 447,705.43, 617,802.31 and 254,117.10

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Solution

The fourth proportional to 447,705.43, 617,802.31 and 254,117.10 is: 350,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,705.43 : 617,802.31 = 254,117.10 : x
  2. Step 2: Convert to fraction form
    447,705.43/617,802.31 = 254,117.10/x
  3. Step 3: Cross multiply
    447,705.43x = 617,802.31 × 254,117.10
  4. Step 4: Simplify right side
    447,705.43x = 156,994,129,120.36
  5. Step 5: Solve for x
    x = 156,994,129,120.36/447,705.43
  6. Step 6: Final answer
    x = 350,663.90

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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.