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Finding the Fourth Proportional to 509,583.96, 703,421.82 and 339,756.12

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Solution

The fourth proportional to 509,583.96, 703,421.82 and 339,756.12 is: 468,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,583.96 : 703,421.82 = 339,756.12 : x
  2. Step 2: Convert to fraction form
    509,583.96/703,421.82 = 339,756.12/x
  3. Step 3: Cross multiply
    509,583.96x = 703,421.82 × 339,756.12
  4. Step 4: Simplify right side
    509,583.96x = 238,991,868,286.54
  5. Step 5: Solve for x
    x = 238,991,868,286.54/509,583.96
  6. Step 6: Final answer
    x = 468,994.10

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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.