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Finding the Fourth Proportional to 456,909.80, 685,364.70 and 338,811.80

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Solution

The fourth proportional to 456,909.80, 685,364.70 and 338,811.80 is: 508,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,909.80 : 685,364.70 = 338,811.80 : x
  2. Step 2: Convert to fraction form
    456,909.80/685,364.70 = 338,811.80/x
  3. Step 3: Cross multiply
    456,909.80x = 685,364.70 × 338,811.80
  4. Step 4: Simplify right side
    456,909.80x = 232,209,647,663.46
  5. Step 5: Solve for x
    x = 232,209,647,663.46/456,909.80
  6. Step 6: Final answer
    x = 508,217.70

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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.