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Finding the Fourth Proportional to 340,178.40, 510,048.90 and 140,578.20

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Solution

The fourth proportional to 340,178.40, 510,048.90 and 140,578.20 is: 210,776.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,178.40 : 510,048.90 = 140,578.20 : x
  2. Step 2: Convert to fraction form
    340,178.40/510,048.90 = 140,578.20/x
  3. Step 3: Cross multiply
    340,178.40x = 510,048.90 × 140,578.20
  4. Step 4: Simplify right side
    340,178.40x = 71,701,756,273.98
  5. Step 5: Solve for x
    x = 71,701,756,273.98/340,178.40
  6. Step 6: Final answer
    x = 210,776.92

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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.