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Finding the Fourth Proportional to 340,337, 510,509.61 and 103,681.73

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Solution

The fourth proportional to 340,337, 510,509.61 and 103,681.73 is: 155,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,337 : 510,509.61 = 103,681.73 : x
  2. Step 2: Convert to fraction form
    340,337/510,509.61 = 103,681.73/x
  3. Step 3: Cross multiply
    340,337x = 510,509.61 × 103,681.73
  4. Step 4: Simplify right side
    340,337x = 52,930,519,546.43
  5. Step 5: Solve for x
    x = 52,930,519,546.43/340,337
  6. Step 6: Final answer
    x = 155,523.85

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1.5x scale

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.