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Finding the Fourth Proportional to 407,712.90, 611,180.55 and 317,705.70

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Solution

The fourth proportional to 407,712.90, 611,180.55 and 317,705.70 is: 476,255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,712.90 : 611,180.55 = 317,705.70 : x
  2. Step 2: Convert to fraction form
    407,712.90/611,180.55 = 317,705.70/x
  3. Step 3: Cross multiply
    407,712.90x = 611,180.55 × 317,705.70
  4. Step 4: Simplify right side
    407,712.90x = 194,175,544,464.14
  5. Step 5: Solve for x
    x = 194,175,544,464.14/407,712.90
  6. Step 6: Final answer
    x = 476,255.58

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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.