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Finding the Fourth Proportional to 509,382.42, 702,906.62 and 294,536.40

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Solution

The fourth proportional to 509,382.42, 702,906.62 and 294,536.40 is: 406,436.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,382.42 : 702,906.62 = 294,536.40 : x
  2. Step 2: Convert to fraction form
    509,382.42/702,906.62 = 294,536.40/x
  3. Step 3: Cross multiply
    509,382.42x = 702,906.62 × 294,536.40
  4. Step 4: Simplify right side
    509,382.42x = 207,031,585,390.97
  5. Step 5: Solve for x
    x = 207,031,585,390.97/509,382.42
  6. Step 6: Final answer
    x = 406,436.46

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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.