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Finding the Fourth Proportional to 349,215.60, 523,823.40 and 328,548.45

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Solution

The fourth proportional to 349,215.60, 523,823.40 and 328,548.45 is: 492,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,215.60 : 523,823.40 = 328,548.45 : x
  2. Step 2: Convert to fraction form
    349,215.60/523,823.40 = 328,548.45/x
  3. Step 3: Cross multiply
    349,215.60x = 523,823.40 × 328,548.45
  4. Step 4: Simplify right side
    349,215.60x = 172,101,366,143.73
  5. Step 5: Solve for x
    x = 172,101,366,143.73/349,215.60
  6. Step 6: Final answer
    x = 492,822.68

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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.