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Finding the Fourth Proportional to 407,786.90, 562,518.96 and 378,920.93

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Solution

The fourth proportional to 407,786.90, 562,518.96 and 378,920.93 is: 522,699.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,786.90 : 562,518.96 = 378,920.93 : x
  2. Step 2: Convert to fraction form
    407,786.90/562,518.96 = 378,920.93/x
  3. Step 3: Cross multiply
    407,786.90x = 562,518.96 × 378,920.93
  4. Step 4: Simplify right side
    407,786.90x = 213,150,207,465.83
  5. Step 5: Solve for x
    x = 213,150,207,465.83/407,786.90
  6. Step 6: Final answer
    x = 522,699.99

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1.5x scale

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.