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Finding the Fourth Proportional to 568,620, 784,695.60 and 342,309.24

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Solution

The fourth proportional to 568,620, 784,695.60 and 342,309.24 is: 472,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,620 : 784,695.60 = 342,309.24 : x
  2. Step 2: Convert to fraction form
    568,620/784,695.60 = 342,309.24/x
  3. Step 3: Cross multiply
    568,620x = 784,695.60 × 342,309.24
  4. Step 4: Simplify right side
    568,620x = 268,608,554,467.34
  5. Step 5: Solve for x
    x = 268,608,554,467.34/568,620
  6. Step 6: Final answer
    x = 472,386.75

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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.