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Finding the Fourth Proportional to 349,478.40, 523,394.64 and 230,855.52

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Solution

The fourth proportional to 349,478.40, 523,394.64 and 230,855.52 is: 345,739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,478.40 : 523,394.64 = 230,855.52 : x
  2. Step 2: Convert to fraction form
    349,478.40/523,394.64 = 230,855.52/x
  3. Step 3: Cross multiply
    349,478.40x = 523,394.64 × 230,855.52
  4. Step 4: Simplify right side
    349,478.40x = 120,828,541,782.41
  5. Step 5: Solve for x
    x = 120,828,541,782.41/349,478.40
  6. Step 6: Final answer
    x = 345,739.66

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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.