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Finding the Fourth Proportional to 407,403.80, 562,245.66 and 269,342.85

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Solution

The fourth proportional to 407,403.80, 562,245.66 and 269,342.85 is: 371,711.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,403.80 : 562,245.66 = 269,342.85 : x
  2. Step 2: Convert to fraction form
    407,403.80/562,245.66 = 269,342.85/x
  3. Step 3: Cross multiply
    407,403.80x = 562,245.66 × 269,342.85
  4. Step 4: Simplify right side
    407,403.80x = 151,436,849,914.32
  5. Step 5: Solve for x
    x = 151,436,849,914.32/407,403.80
  6. Step 6: Final answer
    x = 371,711.93

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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.