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Finding the Fourth Proportional to 356,013.70, 533,588.55 and 205,965.70

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Solution

The fourth proportional to 356,013.70, 533,588.55 and 205,965.70 is: 308,698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,013.70 : 533,588.55 = 205,965.70 : x
  2. Step 2: Convert to fraction form
    356,013.70/533,588.55 = 205,965.70/x
  3. Step 3: Cross multiply
    356,013.70x = 533,588.55 × 205,965.70
  4. Step 4: Simplify right side
    356,013.70x = 109,900,939,212.74
  5. Step 5: Solve for x
    x = 109,900,939,212.74/356,013.70
  6. Step 6: Final answer
    x = 308,698.62

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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.