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Finding the Fourth Proportional to 325,935.80, 488,903.70 and 312,813.80

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Solution

The fourth proportional to 325,935.80, 488,903.70 and 312,813.80 is: 469,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,935.80 : 488,903.70 = 312,813.80 : x
  2. Step 2: Convert to fraction form
    325,935.80/488,903.70 = 312,813.80/x
  3. Step 3: Cross multiply
    325,935.80x = 488,903.70 × 312,813.80
  4. Step 4: Simplify right side
    325,935.80x = 152,935,824,231.06
  5. Step 5: Solve for x
    x = 152,935,824,231.06/325,935.80
  6. Step 6: Final answer
    x = 469,220.70

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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.