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Finding the Fourth Proportional to 713,666, 1,070,913.72 and 319,682

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Solution

The fourth proportional to 713,666, 1,070,913.72 and 319,682 is: 479,708.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,666 : 1,070,913.72 = 319,682 : x
  2. Step 2: Convert to fraction form
    713,666/1,070,913.72 = 319,682/x
  3. Step 3: Cross multiply
    713,666x = 1,070,913.72 × 319,682
  4. Step 4: Simplify right side
    713,666x = 342,351,839,837.04
  5. Step 5: Solve for x
    x = 342,351,839,837.04/713,666
  6. Step 6: Final answer
    x = 479,708.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.