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Finding the Fourth Proportional to 340,384.62, 510,013.98 and 206,859.36

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Solution

The fourth proportional to 340,384.62, 510,013.98 and 206,859.36 is: 309,946.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,384.62 : 510,013.98 = 206,859.36 : x
  2. Step 2: Convert to fraction form
    340,384.62/510,013.98 = 206,859.36/x
  3. Step 3: Cross multiply
    340,384.62x = 510,013.98 × 206,859.36
  4. Step 4: Simplify right side
    340,384.62x = 105,501,165,493.85
  5. Step 5: Solve for x
    x = 105,501,165,493.85/340,384.62
  6. Step 6: Final answer
    x = 309,946.92

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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.