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Finding the Fourth Proportional to 399,155.80, 598,733.70 and 320,423.80

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Solution

The fourth proportional to 399,155.80, 598,733.70 and 320,423.80 is: 480,635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,155.80 : 598,733.70 = 320,423.80 : x
  2. Step 2: Convert to fraction form
    399,155.80/598,733.70 = 320,423.80/x
  3. Step 3: Cross multiply
    399,155.80x = 598,733.70 × 320,423.80
  4. Step 4: Simplify right side
    399,155.80x = 191,848,527,342.06
  5. Step 5: Solve for x
    x = 191,848,527,342.06/399,155.80
  6. Step 6: Final answer
    x = 480,635.70

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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.