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Finding the Fourth Proportional to 520,684.76, 718,917.36 and 406,091.42

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Solution

The fourth proportional to 520,684.76, 718,917.36 and 406,091.42 is: 560,696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,684.76 : 718,917.36 = 406,091.42 : x
  2. Step 2: Convert to fraction form
    520,684.76/718,917.36 = 406,091.42/x
  3. Step 3: Cross multiply
    520,684.76x = 718,917.36 × 406,091.42
  4. Step 4: Simplify right side
    520,684.76x = 291,946,171,585.05
  5. Step 5: Solve for x
    x = 291,946,171,585.05/520,684.76
  6. Step 6: Final answer
    x = 560,696.59

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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.